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Finding the Fourth Proportional to 24,761.61, 37,143.63 and 8,114.90

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Solution

The fourth proportional to 24,761.61, 37,143.63 and 8,114.90 is: 12,172.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,761.61 : 37,143.63 = 8,114.90 : x
  2. Step 2: Convert to fraction form
    24,761.61/37,143.63 = 8,114.90/x
  3. Step 3: Cross multiply
    24,761.61x = 37,143.63 × 8,114.90
  4. Step 4: Simplify right side
    24,761.61x = 301,416,657.37
  5. Step 5: Solve for x
    x = 301,416,657.37/24,761.61
  6. Step 6: Final answer
    x = 12,172.74

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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.