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Finding the Fourth Proportional to 24,002.64, 35,988.54 and 9,972.36

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Solution

The fourth proportional to 24,002.64, 35,988.54 and 9,972.36 is: 14,952.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,002.64 : 35,988.54 = 9,972.36 : x
  2. Step 2: Convert to fraction form
    24,002.64/35,988.54 = 9,972.36/x
  3. Step 3: Cross multiply
    24,002.64x = 35,988.54 × 9,972.36
  4. Step 4: Simplify right side
    24,002.64x = 358,890,516.87
  5. Step 5: Solve for x
    x = 358,890,516.87/24,002.64
  6. Step 6: Final answer
    x = 14,952.13

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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.