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Finding the Fourth Proportional to 13,698.47, 20,543.52 and 7,121.06

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Solution

The fourth proportional to 13,698.47, 20,543.52 and 7,121.06 is: 10,679.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.47 : 20,543.52 = 7,121.06 : x
  2. Step 2: Convert to fraction form
    13,698.47/20,543.52 = 7,121.06/x
  3. Step 3: Cross multiply
    13,698.47x = 20,543.52 × 7,121.06
  4. Step 4: Simplify right side
    13,698.47x = 146,291,755.11
  5. Step 5: Solve for x
    x = 146,291,755.11/13,698.47
  6. Step 6: Final answer
    x = 10,679.43

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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.