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Finding the Fourth Proportional to 25,700.49, 38,556 and 10,909.35

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Solution

The fourth proportional to 25,700.49, 38,556 and 10,909.35 is: 16,366.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,700.49 : 38,556 = 10,909.35 : x
  2. Step 2: Convert to fraction form
    25,700.49/38,556 = 10,909.35/x
  3. Step 3: Cross multiply
    25,700.49x = 38,556 × 10,909.35
  4. Step 4: Simplify right side
    25,700.49x = 420,620,898.60
  5. Step 5: Solve for x
    x = 420,620,898.60/25,700.49
  6. Step 6: Final answer
    x = 16,366.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.