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Finding the Fourth Proportional to 24,002.16, 35,987.84 and 9,971.88

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Solution

The fourth proportional to 24,002.16, 35,987.84 and 9,971.88 is: 14,951.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,002.16 : 35,987.84 = 9,971.88 : x
  2. Step 2: Convert to fraction form
    24,002.16/35,987.84 = 9,971.88/x
  3. Step 3: Cross multiply
    24,002.16x = 35,987.84 × 9,971.88
  4. Step 4: Simplify right side
    24,002.16x = 358,866,421.94
  5. Step 5: Solve for x
    x = 358,866,421.94/24,002.16
  6. Step 6: Final answer
    x = 14,951.42

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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.