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Finding the Fourth Proportional to 25,776.72, 38,657.88 and 9,134.64

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Solution

The fourth proportional to 25,776.72, 38,657.88 and 9,134.64 is: 13,699.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,776.72 : 38,657.88 = 9,134.64 : x
  2. Step 2: Convert to fraction form
    25,776.72/38,657.88 = 9,134.64/x
  3. Step 3: Cross multiply
    25,776.72x = 38,657.88 × 9,134.64
  4. Step 4: Simplify right side
    25,776.72x = 353,125,816.96
  5. Step 5: Solve for x
    x = 353,125,816.96/25,776.72
  6. Step 6: Final answer
    x = 13,699.41

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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.