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Finding the Fourth Proportional to 16,858.40, 23,262.94 and 9,784.14

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Solution

The fourth proportional to 16,858.40, 23,262.94 and 9,784.14 is: 13,501.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,858.40 : 23,262.94 = 9,784.14 : x
  2. Step 2: Convert to fraction form
    16,858.40/23,262.94 = 9,784.14/x
  3. Step 3: Cross multiply
    16,858.40x = 23,262.94 × 9,784.14
  4. Step 4: Simplify right side
    16,858.40x = 227,607,861.77
  5. Step 5: Solve for x
    x = 227,607,861.77/16,858.40
  6. Step 6: Final answer
    x = 13,501.15

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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.