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Finding the Fourth Proportional to 24,463.76, 36,684.07 and 9,477.89

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Solution

The fourth proportional to 24,463.76, 36,684.07 and 9,477.89 is: 14,212.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,463.76 : 36,684.07 = 9,477.89 : x
  2. Step 2: Convert to fraction form
    24,463.76/36,684.07 = 9,477.89/x
  3. Step 3: Cross multiply
    24,463.76x = 36,684.07 × 9,477.89
  4. Step 4: Simplify right side
    24,463.76x = 347,687,580.21
  5. Step 5: Solve for x
    x = 347,687,580.21/24,463.76
  6. Step 6: Final answer
    x = 14,212.35

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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.