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Finding the Fourth Proportional to 25,934.76, 38,893.98 and 8,400.52

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Solution

The fourth proportional to 25,934.76, 38,893.98 and 8,400.52 is: 12,598.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,934.76 : 38,893.98 = 8,400.52 : x
  2. Step 2: Convert to fraction form
    25,934.76/38,893.98 = 8,400.52/x
  3. Step 3: Cross multiply
    25,934.76x = 38,893.98 × 8,400.52
  4. Step 4: Simplify right side
    25,934.76x = 326,729,656.87
  5. Step 5: Solve for x
    x = 326,729,656.87/25,934.76
  6. Step 6: Final answer
    x = 12,598.14

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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.