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Finding the Fourth Proportional to 24,543.77, 36,821.61 and 7,905.38

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Solution

The fourth proportional to 24,543.77, 36,821.61 and 7,905.38 is: 11,859.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,543.77 : 36,821.61 = 7,905.38 : x
  2. Step 2: Convert to fraction form
    24,543.77/36,821.61 = 7,905.38/x
  3. Step 3: Cross multiply
    24,543.77x = 36,821.61 × 7,905.38
  4. Step 4: Simplify right side
    24,543.77x = 291,088,635.15
  5. Step 5: Solve for x
    x = 291,088,635.15/24,543.77
  6. Step 6: Final answer
    x = 11,859.98

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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.