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Finding the Fourth Proportional to 15,204.51, 20,976.17 and 9,897.39

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Solution

The fourth proportional to 15,204.51, 20,976.17 and 9,897.39 is: 13,654.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,204.51 : 20,976.17 = 9,897.39 : x
  2. Step 2: Convert to fraction form
    15,204.51/20,976.17 = 9,897.39/x
  3. Step 3: Cross multiply
    15,204.51x = 20,976.17 × 9,897.39
  4. Step 4: Simplify right side
    15,204.51x = 207,609,285.71
  5. Step 5: Solve for x
    x = 207,609,285.71/15,204.51
  6. Step 6: Final answer
    x = 13,654.45

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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.