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Finding the Fourth Proportional to 16,507, 22,769.58 and 10,842.40

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Solution

The fourth proportional to 16,507, 22,769.58 and 10,842.40 is: 14,955.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,507 : 22,769.58 = 10,842.40 : x
  2. Step 2: Convert to fraction form
    16,507/22,769.58 = 10,842.40/x
  3. Step 3: Cross multiply
    16,507x = 22,769.58 × 10,842.40
  4. Step 4: Simplify right side
    16,507x = 246,876,894.19
  5. Step 5: Solve for x
    x = 246,876,894.19/16,507
  6. Step 6: Final answer
    x = 14,955.89

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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.