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Finding the Fourth Proportional to 13,349.76, 18,422.51 and 7,381.55

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Solution

The fourth proportional to 13,349.76, 18,422.51 and 7,381.55 is: 10,186.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,349.76 : 18,422.51 = 7,381.55 : x
  2. Step 2: Convert to fraction form
    13,349.76/18,422.51 = 7,381.55/x
  3. Step 3: Cross multiply
    13,349.76x = 18,422.51 × 7,381.55
  4. Step 4: Simplify right side
    13,349.76x = 135,986,549.67
  5. Step 5: Solve for x
    x = 135,986,549.67/13,349.76
  6. Step 6: Final answer
    x = 10,186.44

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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.