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Finding the Fourth Proportional to 27,993.16, 38,630.10 and 15,419.08

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Solution

The fourth proportional to 27,993.16, 38,630.10 and 15,419.08 is: 21,278.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,993.16 : 38,630.10 = 15,419.08 : x
  2. Step 2: Convert to fraction form
    27,993.16/38,630.10 = 15,419.08/x
  3. Step 3: Cross multiply
    27,993.16x = 38,630.10 × 15,419.08
  4. Step 4: Simplify right side
    27,993.16x = 595,640,602.31
  5. Step 5: Solve for x
    x = 595,640,602.31/27,993.16
  6. Step 6: Final answer
    x = 21,278.08

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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.