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Finding the Fourth Proportional to 24,557.52, 36,810 and 9,745.92

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Solution

The fourth proportional to 24,557.52, 36,810 and 9,745.92 is: 14,608.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,557.52 : 36,810 = 9,745.92 : x
  2. Step 2: Convert to fraction form
    24,557.52/36,810 = 9,745.92/x
  3. Step 3: Cross multiply
    24,557.52x = 36,810 × 9,745.92
  4. Step 4: Simplify right side
    24,557.52x = 358,747,315.20
  5. Step 5: Solve for x
    x = 358,747,315.20/24,557.52
  6. Step 6: Final answer
    x = 14,608.45

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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.