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Finding the Fourth Proportional to 16,577.92, 22,877.94 and 10,202.14

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Solution

The fourth proportional to 16,577.92, 22,877.94 and 10,202.14 is: 14,079.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,577.92 : 22,877.94 = 10,202.14 : x
  2. Step 2: Convert to fraction form
    16,577.92/22,877.94 = 10,202.14/x
  3. Step 3: Cross multiply
    16,577.92x = 22,877.94 × 10,202.14
  4. Step 4: Simplify right side
    16,577.92x = 233,403,946.79
  5. Step 5: Solve for x
    x = 233,403,946.79/16,577.92
  6. Step 6: Final answer
    x = 14,079.21

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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.