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Finding the Fourth Proportional to 24,362.52, 36,543.26 and 6,831.90

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Solution

The fourth proportional to 24,362.52, 36,543.26 and 6,831.90 is: 10,247.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,362.52 : 36,543.26 = 6,831.90 : x
  2. Step 2: Convert to fraction form
    24,362.52/36,543.26 = 6,831.90/x
  3. Step 3: Cross multiply
    24,362.52x = 36,543.26 × 6,831.90
  4. Step 4: Simplify right side
    24,362.52x = 249,659,897.99
  5. Step 5: Solve for x
    x = 249,659,897.99/24,362.52
  6. Step 6: Final answer
    x = 10,247.70

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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.