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Finding the Fourth Proportional to 13,022.52, 17,959.50 and 10,223.16

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Solution

The fourth proportional to 13,022.52, 17,959.50 and 10,223.16 is: 14,098.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.52 : 17,959.50 = 10,223.16 : x
  2. Step 2: Convert to fraction form
    13,022.52/17,959.50 = 10,223.16/x
  3. Step 3: Cross multiply
    13,022.52x = 17,959.50 × 10,223.16
  4. Step 4: Simplify right side
    13,022.52x = 183,602,842.02
  5. Step 5: Solve for x
    x = 183,602,842.02/13,022.52
  6. Step 6: Final answer
    x = 14,098.87

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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.