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Finding the Fourth Proportional to 22,978.46, 31,702.20 and 15,025.34

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Solution

The fourth proportional to 22,978.46, 31,702.20 and 15,025.34 is: 20,729.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,978.46 : 31,702.20 = 15,025.34 : x
  2. Step 2: Convert to fraction form
    22,978.46/31,702.20 = 15,025.34/x
  3. Step 3: Cross multiply
    22,978.46x = 31,702.20 × 15,025.34
  4. Step 4: Simplify right side
    22,978.46x = 476,336,333.75
  5. Step 5: Solve for x
    x = 476,336,333.75/22,978.46
  6. Step 6: Final answer
    x = 20,729.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.