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Finding the Fourth Proportional to 23,220.29, 32,043.72 and 12,610

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Solution

The fourth proportional to 23,220.29, 32,043.72 and 12,610 is: 17,401.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,220.29 : 32,043.72 = 12,610 : x
  2. Step 2: Convert to fraction form
    23,220.29/32,043.72 = 12,610/x
  3. Step 3: Cross multiply
    23,220.29x = 32,043.72 × 12,610
  4. Step 4: Simplify right side
    23,220.29x = 404,071,309.20
  5. Step 5: Solve for x
    x = 404,071,309.20/23,220.29
  6. Step 6: Final answer
    x = 17,401.65

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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.