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Finding the Fourth Proportional to 12,654.26, 17,462.85 and 7,352.18

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Solution

The fourth proportional to 12,654.26, 17,462.85 and 7,352.18 is: 10,145.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,654.26 : 17,462.85 = 7,352.18 : x
  2. Step 2: Convert to fraction form
    12,654.26/17,462.85 = 7,352.18/x
  3. Step 3: Cross multiply
    12,654.26x = 17,462.85 × 7,352.18
  4. Step 4: Simplify right side
    12,654.26x = 128,390,016.51
  5. Step 5: Solve for x
    x = 128,390,016.51/12,654.26
  6. Step 6: Final answer
    x = 10,145.99

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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.