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Finding the Fourth Proportional to 15,381.76, 23,059.68 and 6,142.72

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Solution

The fourth proportional to 15,381.76, 23,059.68 and 6,142.72 is: 9,208.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,381.76 : 23,059.68 = 6,142.72 : x
  2. Step 2: Convert to fraction form
    15,381.76/23,059.68 = 6,142.72/x
  3. Step 3: Cross multiply
    15,381.76x = 23,059.68 × 6,142.72
  4. Step 4: Simplify right side
    15,381.76x = 141,649,157.53
  5. Step 5: Solve for x
    x = 141,649,157.53/15,381.76
  6. Step 6: Final answer
    x = 9,208.90

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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.