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Finding the Fourth Proportional to 16,402.56, 22,646.40 and 10,124.16

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Solution

The fourth proportional to 16,402.56, 22,646.40 and 10,124.16 is: 13,978.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402.56 : 22,646.40 = 10,124.16 : x
  2. Step 2: Convert to fraction form
    16,402.56/22,646.40 = 10,124.16/x
  3. Step 3: Cross multiply
    16,402.56x = 22,646.40 × 10,124.16
  4. Step 4: Simplify right side
    16,402.56x = 229,275,777.02
  5. Step 5: Solve for x
    x = 229,275,777.02/16,402.56
  6. Step 6: Final answer
    x = 13,978.05

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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.