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Finding the Fourth Proportional to 15,003.75, 22,509.54 and 5,142.99

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Solution

The fourth proportional to 15,003.75, 22,509.54 and 5,142.99 is: 7,715.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,003.75 : 22,509.54 = 5,142.99 : x
  2. Step 2: Convert to fraction form
    15,003.75/22,509.54 = 5,142.99/x
  3. Step 3: Cross multiply
    15,003.75x = 22,509.54 × 5,142.99
  4. Step 4: Simplify right side
    15,003.75x = 115,766,339.12
  5. Step 5: Solve for x
    x = 115,766,339.12/15,003.75
  6. Step 6: Final answer
    x = 7,715.83

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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.