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Finding the Fourth Proportional to 13,348.81, 18,421.23 and 7,380.46

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Solution

The fourth proportional to 13,348.81, 18,421.23 and 7,380.46 is: 10,184.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,348.81 : 18,421.23 = 7,380.46 : x
  2. Step 2: Convert to fraction form
    13,348.81/18,421.23 = 7,380.46/x
  3. Step 3: Cross multiply
    13,348.81x = 18,421.23 × 7,380.46
  4. Step 4: Simplify right side
    13,348.81x = 135,957,151.17
  5. Step 5: Solve for x
    x = 135,957,151.17/13,348.81
  6. Step 6: Final answer
    x = 10,184.96

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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.