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Finding the Fourth Proportional to 24,454, 36,681.72 and 5,986

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Solution

The fourth proportional to 24,454, 36,681.72 and 5,986 is: 8,979.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,454 : 36,681.72 = 5,986 : x
  2. Step 2: Convert to fraction form
    24,454/36,681.72 = 5,986/x
  3. Step 3: Cross multiply
    24,454x = 36,681.72 × 5,986
  4. Step 4: Simplify right side
    24,454x = 219,576,775.92
  5. Step 5: Solve for x
    x = 219,576,775.92/24,454
  6. Step 6: Final answer
    x = 8,979.18

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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.