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Finding the Fourth Proportional to 27,398.16, 37,809.32 and 15,465.38

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Solution

The fourth proportional to 27,398.16, 37,809.32 and 15,465.38 is: 21,342.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,398.16 : 37,809.32 = 15,465.38 : x
  2. Step 2: Convert to fraction form
    27,398.16/37,809.32 = 15,465.38/x
  3. Step 3: Cross multiply
    27,398.16x = 37,809.32 × 15,465.38
  4. Step 4: Simplify right side
    27,398.16x = 584,735,234.97
  5. Step 5: Solve for x
    x = 584,735,234.97/27,398.16
  6. Step 6: Final answer
    x = 21,342.14

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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.