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Finding the Fourth Proportional to 24,346.47, 36,525.17 and 7,707.50

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Solution

The fourth proportional to 24,346.47, 36,525.17 and 7,707.50 is: 11,562.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,346.47 : 36,525.17 = 7,707.50 : x
  2. Step 2: Convert to fraction form
    24,346.47/36,525.17 = 7,707.50/x
  3. Step 3: Cross multiply
    24,346.47x = 36,525.17 × 7,707.50
  4. Step 4: Simplify right side
    24,346.47x = 281,517,526.61
  5. Step 5: Solve for x
    x = 281,517,526.61/24,346.47
  6. Step 6: Final answer
    x = 11,562.97

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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.