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Finding the Fourth Proportional to 24,355.96, 36,534 and 5,887.96

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Solution

The fourth proportional to 24,355.96, 36,534 and 5,887.96 is: 8,831.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,355.96 : 36,534 = 5,887.96 : x
  2. Step 2: Convert to fraction form
    24,355.96/36,534 = 5,887.96/x
  3. Step 3: Cross multiply
    24,355.96x = 36,534 × 5,887.96
  4. Step 4: Simplify right side
    24,355.96x = 215,110,730.64
  5. Step 5: Solve for x
    x = 215,110,730.64/24,355.96
  6. Step 6: Final answer
    x = 8,831.95

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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.