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Finding the Fourth Proportional to 27,842.64, 38,422.46 and 15,267.39

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Solution

The fourth proportional to 27,842.64, 38,422.46 and 15,267.39 is: 21,068.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,842.64 : 38,422.46 = 15,267.39 : x
  2. Step 2: Convert to fraction form
    27,842.64/38,422.46 = 15,267.39/x
  3. Step 3: Cross multiply
    27,842.64x = 38,422.46 × 15,267.39
  4. Step 4: Simplify right side
    27,842.64x = 586,610,605.24
  5. Step 5: Solve for x
    x = 586,610,605.24/27,842.64
  6. Step 6: Final answer
    x = 21,068.79

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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.