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Finding the Fourth Proportional to 31,006.84, 42,788.28 and 16,859.20

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Solution

The fourth proportional to 31,006.84, 42,788.28 and 16,859.20 is: 23,265.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,006.84 : 42,788.28 = 16,859.20 : x
  2. Step 2: Convert to fraction form
    31,006.84/42,788.28 = 16,859.20/x
  3. Step 3: Cross multiply
    31,006.84x = 42,788.28 × 16,859.20
  4. Step 4: Simplify right side
    31,006.84x = 721,376,170.18
  5. Step 5: Solve for x
    x = 721,376,170.18/31,006.84
  6. Step 6: Final answer
    x = 23,265.07

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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.