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Finding the Fourth Proportional to 22,637.85, 31,238.75 and 12,566.29

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Solution

The fourth proportional to 22,637.85, 31,238.75 and 12,566.29 is: 17,340.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,637.85 : 31,238.75 = 12,566.29 : x
  2. Step 2: Convert to fraction form
    22,637.85/31,238.75 = 12,566.29/x
  3. Step 3: Cross multiply
    22,637.85x = 31,238.75 × 12,566.29
  4. Step 4: Simplify right side
    22,637.85x = 392,555,145.06
  5. Step 5: Solve for x
    x = 392,555,145.06/22,637.85
  6. Step 6: Final answer
    x = 17,340.65

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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.