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Finding the Fourth Proportional to 13,798.24, 20,702.24 and 5,034.04

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Solution

The fourth proportional to 13,798.24, 20,702.24 and 5,034.04 is: 7,552.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,798.24 : 20,702.24 = 5,034.04 : x
  2. Step 2: Convert to fraction form
    13,798.24/20,702.24 = 5,034.04/x
  3. Step 3: Cross multiply
    13,798.24x = 20,702.24 × 5,034.04
  4. Step 4: Simplify right side
    13,798.24x = 104,215,904.25
  5. Step 5: Solve for x
    x = 104,215,904.25/13,798.24
  6. Step 6: Final answer
    x = 7,552.84

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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.