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Finding the Fourth Proportional to 14,691.52, 22,037.52 and 4,831.84

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Solution

The fourth proportional to 14,691.52, 22,037.52 and 4,831.84 is: 7,247.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,691.52 : 22,037.52 = 4,831.84 : x
  2. Step 2: Convert to fraction form
    14,691.52/22,037.52 = 4,831.84/x
  3. Step 3: Cross multiply
    14,691.52x = 22,037.52 × 4,831.84
  4. Step 4: Simplify right side
    14,691.52x = 106,481,770.64
  5. Step 5: Solve for x
    x = 106,481,770.64/14,691.52
  6. Step 6: Final answer
    x = 7,247.84

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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.