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Finding the Fourth Proportional to 16,842,314, 23,240,980.68 and 9,965,591.12

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Solution

The fourth proportional to 16,842,314, 23,240,980.68 and 9,965,591.12 is: 13,751,679.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,842,314 : 23,240,980.68 = 9,965,591.12 : x
  2. Step 2: Convert to fraction form
    16,842,314/23,240,980.68 = 9,965,591.12/x
  3. Step 3: Cross multiply
    16,842,314x = 23,240,980.68 × 9,965,591.12
  4. Step 4: Simplify right side
    16,842,314x = 231,610,110,684,699.53
  5. Step 5: Solve for x
    x = 231,610,110,684,699.53/16,842,314
  6. Step 6: Final answer
    x = 13,751,679.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.