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Finding the Fourth Proportional to 25,703.20, 38,569.20 and 10,909.60

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Solution

The fourth proportional to 25,703.20, 38,569.20 and 10,909.60 is: 16,370.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,703.20 : 38,569.20 = 10,909.60 : x
  2. Step 2: Convert to fraction form
    25,703.20/38,569.20 = 10,909.60/x
  3. Step 3: Cross multiply
    25,703.20x = 38,569.20 × 10,909.60
  4. Step 4: Simplify right side
    25,703.20x = 420,774,544.32
  5. Step 5: Solve for x
    x = 420,774,544.32/25,703.20
  6. Step 6: Final answer
    x = 16,370.51

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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.