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Finding the Fourth Proportional to 25,515.60, 38,267.55 and 9,722.42

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Solution

The fourth proportional to 25,515.60, 38,267.55 and 9,722.42 is: 14,581.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,515.60 : 38,267.55 = 9,722.42 : x
  2. Step 2: Convert to fraction form
    25,515.60/38,267.55 = 9,722.42/x
  3. Step 3: Cross multiply
    25,515.60x = 38,267.55 × 9,722.42
  4. Step 4: Simplify right side
    25,515.60x = 372,053,289.14
  5. Step 5: Solve for x
    x = 372,053,289.14/25,515.60
  6. Step 6: Final answer
    x = 14,581.40

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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.