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Finding the Fourth Proportional to 24,868.80, 37,254.60 and 14,978.70

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Solution

The fourth proportional to 24,868.80, 37,254.60 and 14,978.70 is: 22,438.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,868.80 : 37,254.60 = 14,978.70 : x
  2. Step 2: Convert to fraction form
    24,868.80/37,254.60 = 14,978.70/x
  3. Step 3: Cross multiply
    24,868.80x = 37,254.60 × 14,978.70
  4. Step 4: Simplify right side
    24,868.80x = 558,025,477.02
  5. Step 5: Solve for x
    x = 558,025,477.02/24,868.80
  6. Step 6: Final answer
    x = 22,438.78

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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.