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Finding the Fourth Proportional to 23,218.99, 32,042.58 and 13,147.17

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Solution

The fourth proportional to 23,218.99, 32,042.58 and 13,147.17 is: 18,143.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,218.99 : 32,042.58 = 13,147.17 : x
  2. Step 2: Convert to fraction form
    23,218.99/32,042.58 = 13,147.17/x
  3. Step 3: Cross multiply
    23,218.99x = 32,042.58 × 13,147.17
  4. Step 4: Simplify right side
    23,218.99x = 421,269,246.50
  5. Step 5: Solve for x
    x = 421,269,246.50/23,218.99
  6. Step 6: Final answer
    x = 18,143.31

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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.