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Finding the Fourth Proportional to 24,922.61, 37,372.98 and 9,329.30

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Solution

The fourth proportional to 24,922.61, 37,372.98 and 9,329.30 is: 13,989.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,922.61 : 37,372.98 = 9,329.30 : x
  2. Step 2: Convert to fraction form
    24,922.61/37,372.98 = 9,329.30/x
  3. Step 3: Cross multiply
    24,922.61x = 37,372.98 × 9,329.30
  4. Step 4: Simplify right side
    24,922.61x = 348,663,602.24
  5. Step 5: Solve for x
    x = 348,663,602.24/24,922.61
  6. Step 6: Final answer
    x = 13,989.85

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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.