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Finding the Fourth Proportional to 22,638.16, 31,239.17 and 12,566.11

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Solution

The fourth proportional to 22,638.16, 31,239.17 and 12,566.11 is: 17,340.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,638.16 : 31,239.17 = 12,566.11 : x
  2. Step 2: Convert to fraction form
    22,638.16/31,239.17 = 12,566.11/x
  3. Step 3: Cross multiply
    22,638.16x = 31,239.17 × 12,566.11
  4. Step 4: Simplify right side
    22,638.16x = 392,554,690.33
  5. Step 5: Solve for x
    x = 392,554,690.33/22,638.16
  6. Step 6: Final answer
    x = 17,340.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.