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Finding the Fourth Proportional to 15,609, 21,540.51 and 10,020

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Solution

The fourth proportional to 15,609, 21,540.51 and 10,020 is: 13,827.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,609 : 21,540.51 = 10,020 : x
  2. Step 2: Convert to fraction form
    15,609/21,540.51 = 10,020/x
  3. Step 3: Cross multiply
    15,609x = 21,540.51 × 10,020
  4. Step 4: Simplify right side
    15,609x = 215,835,910.20
  5. Step 5: Solve for x
    x = 215,835,910.20/15,609
  6. Step 6: Final answer
    x = 13,827.66

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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.