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Finding the Fourth Proportional to 13,348.14, 18,421.11 and 7,380.06

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Solution

The fourth proportional to 13,348.14, 18,421.11 and 7,380.06 is: 10,184.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,348.14 : 18,421.11 = 7,380.06 : x
  2. Step 2: Convert to fraction form
    13,348.14/18,421.11 = 7,380.06/x
  3. Step 3: Cross multiply
    13,348.14x = 18,421.11 × 7,380.06
  4. Step 4: Simplify right side
    13,348.14x = 135,948,897.07
  5. Step 5: Solve for x
    x = 135,948,897.07/13,348.14
  6. Step 6: Final answer
    x = 10,184.86

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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.