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Finding the Fourth Proportional to 27,962, 38,587.56 and 15,386.48

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Solution

The fourth proportional to 27,962, 38,587.56 and 15,386.48 is: 21,233.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,962 : 38,587.56 = 15,386.48 : x
  2. Step 2: Convert to fraction form
    27,962/38,587.56 = 15,386.48/x
  3. Step 3: Cross multiply
    27,962x = 38,587.56 × 15,386.48
  4. Step 4: Simplify right side
    27,962x = 593,726,720.19
  5. Step 5: Solve for x
    x = 593,726,720.19/27,962
  6. Step 6: Final answer
    x = 21,233.34

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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.