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Finding the Fourth Proportional to 24,031.30, 36,059.86 and 10,001

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Solution

The fourth proportional to 24,031.30, 36,059.86 and 10,001 is: 15,006.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,031.30 : 36,059.86 = 10,001 : x
  2. Step 2: Convert to fraction form
    24,031.30/36,059.86 = 10,001/x
  3. Step 3: Cross multiply
    24,031.30x = 36,059.86 × 10,001
  4. Step 4: Simplify right side
    24,031.30x = 360,634,659.86
  5. Step 5: Solve for x
    x = 360,634,659.86/24,031.30
  6. Step 6: Final answer
    x = 15,006.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.