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Finding the Fourth Proportional to 13,186.82, 19,753.72 and 6,157.13

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Solution

The fourth proportional to 13,186.82, 19,753.72 and 6,157.13 is: 9,223.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,186.82 : 19,753.72 = 6,157.13 : x
  2. Step 2: Convert to fraction form
    13,186.82/19,753.72 = 6,157.13/x
  3. Step 3: Cross multiply
    13,186.82x = 19,753.72 × 6,157.13
  4. Step 4: Simplify right side
    13,186.82x = 121,626,253.61
  5. Step 5: Solve for x
    x = 121,626,253.61/13,186.82
  6. Step 6: Final answer
    x = 9,223.32

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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.