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Finding the Fourth Proportional to 15,398.78, 21,253.61 and 9,729.93

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Solution

The fourth proportional to 15,398.78, 21,253.61 and 9,729.93 is: 13,429.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,398.78 : 21,253.61 = 9,729.93 : x
  2. Step 2: Convert to fraction form
    15,398.78/21,253.61 = 9,729.93/x
  3. Step 3: Cross multiply
    15,398.78x = 21,253.61 × 9,729.93
  4. Step 4: Simplify right side
    15,398.78x = 206,796,108.74
  5. Step 5: Solve for x
    x = 206,796,108.74/15,398.78
  6. Step 6: Final answer
    x = 13,429.38

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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.