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Finding the Fourth Proportional to 24,539.52, 36,783 and 9,727.92

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Solution

The fourth proportional to 24,539.52, 36,783 and 9,727.92 is: 14,581.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,539.52 : 36,783 = 9,727.92 : x
  2. Step 2: Convert to fraction form
    24,539.52/36,783 = 9,727.92/x
  3. Step 3: Cross multiply
    24,539.52x = 36,783 × 9,727.92
  4. Step 4: Simplify right side
    24,539.52x = 357,822,081.36
  5. Step 5: Solve for x
    x = 357,822,081.36/24,539.52
  6. Step 6: Final answer
    x = 14,581.46

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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.