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Finding the Fourth Proportional to 13,134.13, 18,122.62 and 7,829.44

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Solution

The fourth proportional to 13,134.13, 18,122.62 and 7,829.44 is: 10,803.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,134.13 : 18,122.62 = 7,829.44 : x
  2. Step 2: Convert to fraction form
    13,134.13/18,122.62 = 7,829.44/x
  3. Step 3: Cross multiply
    13,134.13x = 18,122.62 × 7,829.44
  4. Step 4: Simplify right side
    13,134.13x = 141,889,836.17
  5. Step 5: Solve for x
    x = 141,889,836.17/13,134.13
  6. Step 6: Final answer
    x = 10,803.14

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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.