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Finding the Fourth Proportional to 13,089.30, 18,062.25 and 7,422.74

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Solution

The fourth proportional to 13,089.30, 18,062.25 and 7,422.74 is: 10,242.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,089.30 : 18,062.25 = 7,422.74 : x
  2. Step 2: Convert to fraction form
    13,089.30/18,062.25 = 7,422.74/x
  3. Step 3: Cross multiply
    13,089.30x = 18,062.25 × 7,422.74
  4. Step 4: Simplify right side
    13,089.30x = 134,071,335.15
  5. Step 5: Solve for x
    x = 134,071,335.15/13,089.30
  6. Step 6: Final answer
    x = 10,242.82

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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.