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Finding the Fourth Proportional to 24,854.88, 37,208.28 and 16,506

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Solution

The fourth proportional to 24,854.88, 37,208.28 and 16,506 is: 24,709.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,854.88 : 37,208.28 = 16,506 : x
  2. Step 2: Convert to fraction form
    24,854.88/37,208.28 = 16,506/x
  3. Step 3: Cross multiply
    24,854.88x = 37,208.28 × 16,506
  4. Step 4: Simplify right side
    24,854.88x = 614,159,869.68
  5. Step 5: Solve for x
    x = 614,159,869.68/24,854.88
  6. Step 6: Final answer
    x = 24,709.83

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Why These Related Problems?

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