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Finding the Fourth Proportional to 15,828.66, 23,742.99 and 7,061.22

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Solution

The fourth proportional to 15,828.66, 23,742.99 and 7,061.22 is: 10,591.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,828.66 : 23,742.99 = 7,061.22 : x
  2. Step 2: Convert to fraction form
    15,828.66/23,742.99 = 7,061.22/x
  3. Step 3: Cross multiply
    15,828.66x = 23,742.99 × 7,061.22
  4. Step 4: Simplify right side
    15,828.66x = 167,654,475.85
  5. Step 5: Solve for x
    x = 167,654,475.85/15,828.66
  6. Step 6: Final answer
    x = 10,591.83

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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.