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Finding the Fourth Proportional to 13,615.40, 18,789.26 and 7,646.92

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Solution

The fourth proportional to 13,615.40, 18,789.26 and 7,646.92 is: 10,552.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,615.40 : 18,789.26 = 7,646.92 : x
  2. Step 2: Convert to fraction form
    13,615.40/18,789.26 = 7,646.92/x
  3. Step 3: Cross multiply
    13,615.40x = 18,789.26 × 7,646.92
  4. Step 4: Simplify right side
    13,615.40x = 143,679,835.90
  5. Step 5: Solve for x
    x = 143,679,835.90/13,615.40
  6. Step 6: Final answer
    x = 10,552.74

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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.