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Finding the Fourth Proportional to 13,324.95, 18,386.31 and 7,658.59

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Solution

The fourth proportional to 13,324.95, 18,386.31 and 7,658.59 is: 10,567.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,324.95 : 18,386.31 = 7,658.59 : x
  2. Step 2: Convert to fraction form
    13,324.95/18,386.31 = 7,658.59/x
  3. Step 3: Cross multiply
    13,324.95x = 18,386.31 × 7,658.59
  4. Step 4: Simplify right side
    13,324.95x = 140,813,209.90
  5. Step 5: Solve for x
    x = 140,813,209.90/13,324.95
  6. Step 6: Final answer
    x = 10,567.64

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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.