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Finding the Fourth Proportional to 13,438.58, 18,542.97 and 7,470.09

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Solution

The fourth proportional to 13,438.58, 18,542.97 and 7,470.09 is: 10,307.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,438.58 : 18,542.97 = 7,470.09 : x
  2. Step 2: Convert to fraction form
    13,438.58/18,542.97 = 7,470.09/x
  3. Step 3: Cross multiply
    13,438.58x = 18,542.97 × 7,470.09
  4. Step 4: Simplify right side
    13,438.58x = 138,517,654.77
  5. Step 5: Solve for x
    x = 138,517,654.77/13,438.58
  6. Step 6: Final answer
    x = 10,307.47

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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.