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Finding the Fourth Proportional to 15,999.48, 23,999.70 and 5,614.20

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Solution

The fourth proportional to 15,999.48, 23,999.70 and 5,614.20 is: 8,421.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,999.48 : 23,999.70 = 5,614.20 : x
  2. Step 2: Convert to fraction form
    15,999.48/23,999.70 = 5,614.20/x
  3. Step 3: Cross multiply
    15,999.48x = 23,999.70 × 5,614.20
  4. Step 4: Simplify right side
    15,999.48x = 134,739,115.74
  5. Step 5: Solve for x
    x = 134,739,115.74/15,999.48
  6. Step 6: Final answer
    x = 8,421.47

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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.