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Finding the Fourth Proportional to 25,702.72, 35,468.40 and 14,524

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Solution

The fourth proportional to 25,702.72, 35,468.40 and 14,524 is: 20,042.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,702.72 : 35,468.40 = 14,524 : x
  2. Step 2: Convert to fraction form
    25,702.72/35,468.40 = 14,524/x
  3. Step 3: Cross multiply
    25,702.72x = 35,468.40 × 14,524
  4. Step 4: Simplify right side
    25,702.72x = 515,143,041.60
  5. Step 5: Solve for x
    x = 515,143,041.60/25,702.72
  6. Step 6: Final answer
    x = 20,042.36

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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.