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Finding the Fourth Proportional to 15,362.38, 21,201.68 and 9,398.02

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Solution

The fourth proportional to 15,362.38, 21,201.68 and 9,398.02 is: 12,970.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,362.38 : 21,201.68 = 9,398.02 : x
  2. Step 2: Convert to fraction form
    15,362.38/21,201.68 = 9,398.02/x
  3. Step 3: Cross multiply
    15,362.38x = 21,201.68 × 9,398.02
  4. Step 4: Simplify right side
    15,362.38x = 199,253,812.67
  5. Step 5: Solve for x
    x = 199,253,812.67/15,362.38
  6. Step 6: Final answer
    x = 12,970.24

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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.