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Finding the Fourth Proportional to 25,552.92, 38,316.96 and 9,758.64

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Solution

The fourth proportional to 25,552.92, 38,316.96 and 9,758.64 is: 14,633.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,552.92 : 38,316.96 = 9,758.64 : x
  2. Step 2: Convert to fraction form
    25,552.92/38,316.96 = 9,758.64/x
  3. Step 3: Cross multiply
    25,552.92x = 38,316.96 × 9,758.64
  4. Step 4: Simplify right side
    25,552.92x = 373,921,418.53
  5. Step 5: Solve for x
    x = 373,921,418.53/25,552.92
  6. Step 6: Final answer
    x = 14,633.22

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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.