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Finding the Fourth Proportional to 25,625.35, 38,434.31 and 9,834.35

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Solution

The fourth proportional to 25,625.35, 38,434.31 and 9,834.35 is: 14,750.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,625.35 : 38,434.31 = 9,834.35 : x
  2. Step 2: Convert to fraction form
    25,625.35/38,434.31 = 9,834.35/x
  3. Step 3: Cross multiply
    25,625.35x = 38,434.31 × 9,834.35
  4. Step 4: Simplify right side
    25,625.35x = 377,976,503.46
  5. Step 5: Solve for x
    x = 377,976,503.46/25,625.35
  6. Step 6: Final answer
    x = 14,750.10

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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.