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Finding the Fourth Proportional to 15,523.68, 23,289.84 and 5,142.72

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Solution

The fourth proportional to 15,523.68, 23,289.84 and 5,142.72 is: 7,715.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,523.68 : 23,289.84 = 5,142.72 : x
  2. Step 2: Convert to fraction form
    15,523.68/23,289.84 = 5,142.72/x
  3. Step 3: Cross multiply
    15,523.68x = 23,289.84 × 5,142.72
  4. Step 4: Simplify right side
    15,523.68x = 119,773,125.96
  5. Step 5: Solve for x
    x = 119,773,125.96/15,523.68
  6. Step 6: Final answer
    x = 7,715.51

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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.