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Finding the Fourth Proportional to 24,902.84, 37,275.71 and 16,006.22

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Solution

The fourth proportional to 24,902.84, 37,275.71 and 16,006.22 is: 23,958.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,902.84 : 37,275.71 = 16,006.22 : x
  2. Step 2: Convert to fraction form
    24,902.84/37,275.71 = 16,006.22/x
  3. Step 3: Cross multiply
    24,902.84x = 37,275.71 × 16,006.22
  4. Step 4: Simplify right side
    24,902.84x = 596,643,348.12
  5. Step 5: Solve for x
    x = 596,643,348.12/24,902.84
  6. Step 6: Final answer
    x = 23,958.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.