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Finding the Fourth Proportional to 24,002.08, 35,987.71 and 9,971.80

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Solution

The fourth proportional to 24,002.08, 35,987.71 and 9,971.80 is: 14,951.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,002.08 : 35,987.71 = 9,971.80 : x
  2. Step 2: Convert to fraction form
    24,002.08/35,987.71 = 9,971.80/x
  3. Step 3: Cross multiply
    24,002.08x = 35,987.71 × 9,971.80
  4. Step 4: Simplify right side
    24,002.08x = 358,862,246.58
  5. Step 5: Solve for x
    x = 358,862,246.58/24,002.08
  6. Step 6: Final answer
    x = 14,951.30

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1.5x scale

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.