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Finding the Fourth Proportional to 24,854.92, 37,282.24 and 14,459.38

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Solution

The fourth proportional to 24,854.92, 37,282.24 and 14,459.38 is: 21,688.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,854.92 : 37,282.24 = 14,459.38 : x
  2. Step 2: Convert to fraction form
    24,854.92/37,282.24 = 14,459.38/x
  3. Step 3: Cross multiply
    24,854.92x = 37,282.24 × 14,459.38
  4. Step 4: Simplify right side
    24,854.92x = 539,078,075.41
  5. Step 5: Solve for x
    x = 539,078,075.41/24,854.92
  6. Step 6: Final answer
    x = 21,688.99

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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.