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Finding the Fourth Proportional to 13,385.80, 18,473.70 and 7,419.40

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Solution

The fourth proportional to 13,385.80, 18,473.70 and 7,419.40 is: 10,239.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,385.80 : 18,473.70 = 7,419.40 : x
  2. Step 2: Convert to fraction form
    13,385.80/18,473.70 = 7,419.40/x
  3. Step 3: Cross multiply
    13,385.80x = 18,473.70 × 7,419.40
  4. Step 4: Simplify right side
    13,385.80x = 137,063,769.78
  5. Step 5: Solve for x
    x = 137,063,769.78/13,385.80
  6. Step 6: Final answer
    x = 10,239.49

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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.