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Finding the Fourth Proportional to 13,126.68, 18,114.24 and 7,158.24

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Solution

The fourth proportional to 13,126.68, 18,114.24 and 7,158.24 is: 9,878.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,126.68 : 18,114.24 = 7,158.24 : x
  2. Step 2: Convert to fraction form
    13,126.68/18,114.24 = 7,158.24/x
  3. Step 3: Cross multiply
    13,126.68x = 18,114.24 × 7,158.24
  4. Step 4: Simplify right side
    13,126.68x = 129,666,077.34
  5. Step 5: Solve for x
    x = 129,666,077.34/13,126.68
  6. Step 6: Final answer
    x = 9,878.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.