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Finding the Fourth Proportional to 13,259.91, 18,295.92 and 7,884.24

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Solution

The fourth proportional to 13,259.91, 18,295.92 and 7,884.24 is: 10,878.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,259.91 : 18,295.92 = 7,884.24 : x
  2. Step 2: Convert to fraction form
    13,259.91/18,295.92 = 7,884.24/x
  3. Step 3: Cross multiply
    13,259.91x = 18,295.92 × 7,884.24
  4. Step 4: Simplify right side
    13,259.91x = 144,249,424.30
  5. Step 5: Solve for x
    x = 144,249,424.30/13,259.91
  6. Step 6: Final answer
    x = 10,878.61

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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.