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Finding the Fourth Proportional to 24,155.64, 36,231.84 and 6,624

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Solution

The fourth proportional to 24,155.64, 36,231.84 and 6,624 is: 9,935.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,155.64 : 36,231.84 = 6,624 : x
  2. Step 2: Convert to fraction form
    24,155.64/36,231.84 = 6,624/x
  3. Step 3: Cross multiply
    24,155.64x = 36,231.84 × 6,624
  4. Step 4: Simplify right side
    24,155.64x = 239,999,708.16
  5. Step 5: Solve for x
    x = 239,999,708.16/24,155.64
  6. Step 6: Final answer
    x = 9,935.56

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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.