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Finding the Fourth Proportional to 18,638.88, 25,730.22 and 11,569.47

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Solution

The fourth proportional to 18,638.88, 25,730.22 and 11,569.47 is: 15,971.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,638.88 : 25,730.22 = 11,569.47 : x
  2. Step 2: Convert to fraction form
    18,638.88/25,730.22 = 11,569.47/x
  3. Step 3: Cross multiply
    18,638.88x = 25,730.22 × 11,569.47
  4. Step 4: Simplify right side
    18,638.88x = 297,685,008.38
  5. Step 5: Solve for x
    x = 297,685,008.38/18,638.88
  6. Step 6: Final answer
    x = 15,971.19

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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.