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Finding the Fourth Proportional to 22,812.30, 34,207.52 and 11,713.28

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Solution

The fourth proportional to 22,812.30, 34,207.52 and 11,713.28 is: 17,564.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,812.30 : 34,207.52 = 11,713.28 : x
  2. Step 2: Convert to fraction form
    22,812.30/34,207.52 = 11,713.28/x
  3. Step 3: Cross multiply
    22,812.30x = 34,207.52 × 11,713.28
  4. Step 4: Simplify right side
    22,812.30x = 400,682,030.26
  5. Step 5: Solve for x
    x = 400,682,030.26/22,812.30
  6. Step 6: Final answer
    x = 17,564.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.