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Finding the Fourth Proportional to 15,775.53, 23,639.92 and 6,404.15

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Solution

The fourth proportional to 15,775.53, 23,639.92 and 6,404.15 is: 9,596.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,775.53 : 23,639.92 = 6,404.15 : x
  2. Step 2: Convert to fraction form
    15,775.53/23,639.92 = 6,404.15/x
  3. Step 3: Cross multiply
    15,775.53x = 23,639.92 × 6,404.15
  4. Step 4: Simplify right side
    15,775.53x = 151,393,593.67
  5. Step 5: Solve for x
    x = 151,393,593.67/15,775.53
  6. Step 6: Final answer
    x = 9,596.74

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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.