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Finding the Fourth Proportional to 24,856.88, 37,211.28 and 16,508

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Solution

The fourth proportional to 24,856.88, 37,211.28 and 16,508 is: 24,712.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,856.88 : 37,211.28 = 16,508 : x
  2. Step 2: Convert to fraction form
    24,856.88/37,211.28 = 16,508/x
  3. Step 3: Cross multiply
    24,856.88x = 37,211.28 × 16,508
  4. Step 4: Simplify right side
    24,856.88x = 614,283,810.24
  5. Step 5: Solve for x
    x = 614,283,810.24/24,856.88
  6. Step 6: Final answer
    x = 24,712.83

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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.