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Finding the Fourth Proportional to 24,657.78, 34,007.85 and 15,702.42

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Solution

The fourth proportional to 24,657.78, 34,007.85 and 15,702.42 is: 21,656.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,657.78 : 34,007.85 = 15,702.42 : x
  2. Step 2: Convert to fraction form
    24,657.78/34,007.85 = 15,702.42/x
  3. Step 3: Cross multiply
    24,657.78x = 34,007.85 × 15,702.42
  4. Step 4: Simplify right side
    24,657.78x = 534,005,544.00
  5. Step 5: Solve for x
    x = 534,005,544.00/24,657.78
  6. Step 6: Final answer
    x = 21,656.68

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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.