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Finding the Fourth Proportional to 25,909.80, 38,855.16 and 9,265.32

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Solution

The fourth proportional to 25,909.80, 38,855.16 and 9,265.32 is: 13,894.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,909.80 : 38,855.16 = 9,265.32 : x
  2. Step 2: Convert to fraction form
    25,909.80/38,855.16 = 9,265.32/x
  3. Step 3: Cross multiply
    25,909.80x = 38,855.16 × 9,265.32
  4. Step 4: Simplify right side
    25,909.80x = 360,005,491.05
  5. Step 5: Solve for x
    x = 360,005,491.05/25,909.80
  6. Step 6: Final answer
    x = 13,894.57

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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.