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Finding the Fourth Proportional to 25,351.68, 38,032.80 and 9,773.76

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Solution

The fourth proportional to 25,351.68, 38,032.80 and 9,773.76 is: 14,662.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,351.68 : 38,032.80 = 9,773.76 : x
  2. Step 2: Convert to fraction form
    25,351.68/38,032.80 = 9,773.76/x
  3. Step 3: Cross multiply
    25,351.68x = 38,032.80 × 9,773.76
  4. Step 4: Simplify right side
    25,351.68x = 371,723,459.33
  5. Step 5: Solve for x
    x = 371,723,459.33/25,351.68
  6. Step 6: Final answer
    x = 14,662.68

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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.