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Finding the Fourth Proportional to 13,508.74, 20,264.87 and 5,077.99

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Solution

The fourth proportional to 13,508.74, 20,264.87 and 5,077.99 is: 7,617.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,508.74 : 20,264.87 = 5,077.99 : x
  2. Step 2: Convert to fraction form
    13,508.74/20,264.87 = 5,077.99/x
  3. Step 3: Cross multiply
    13,508.74x = 20,264.87 × 5,077.99
  4. Step 4: Simplify right side
    13,508.74x = 102,904,807.21
  5. Step 5: Solve for x
    x = 102,904,807.21/13,508.74
  6. Step 6: Final answer
    x = 7,617.65

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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.