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Finding the Fourth Proportional to 22,863.60, 31,534.82 and 16,142.22

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Solution

The fourth proportional to 22,863.60, 31,534.82 and 16,142.22 is: 22,264.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,863.60 : 31,534.82 = 16,142.22 : x
  2. Step 2: Convert to fraction form
    22,863.60/31,534.82 = 16,142.22/x
  3. Step 3: Cross multiply
    22,863.60x = 31,534.82 × 16,142.22
  4. Step 4: Simplify right side
    22,863.60x = 509,041,981.92
  5. Step 5: Solve for x
    x = 509,041,981.92/22,863.60
  6. Step 6: Final answer
    x = 22,264.30

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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.