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Finding the Fourth Proportional to 25,354.68, 38,027.16 and 9,770.28

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Solution

The fourth proportional to 25,354.68, 38,027.16 and 9,770.28 is: 14,653.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,354.68 : 38,027.16 = 9,770.28 : x
  2. Step 2: Convert to fraction form
    25,354.68/38,027.16 = 9,770.28/x
  3. Step 3: Cross multiply
    25,354.68x = 38,027.16 × 9,770.28
  4. Step 4: Simplify right side
    25,354.68x = 371,536,000.80
  5. Step 5: Solve for x
    x = 371,536,000.80/25,354.68
  6. Step 6: Final answer
    x = 14,653.55

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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.