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Finding the Fourth Proportional to 15,697.72, 23,560.08 and 9,114.76

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Solution

The fourth proportional to 15,697.72, 23,560.08 and 9,114.76 is: 13,679.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,697.72 : 23,560.08 = 9,114.76 : x
  2. Step 2: Convert to fraction form
    15,697.72/23,560.08 = 9,114.76/x
  3. Step 3: Cross multiply
    15,697.72x = 23,560.08 × 9,114.76
  4. Step 4: Simplify right side
    15,697.72x = 214,744,474.78
  5. Step 5: Solve for x
    x = 214,744,474.78/15,697.72
  6. Step 6: Final answer
    x = 13,679.98

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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.