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Finding the Fourth Proportional to 27,842.58, 38,425.05 and 15,909.66

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Solution

The fourth proportional to 27,842.58, 38,425.05 and 15,909.66 is: 21,956.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,842.58 : 38,425.05 = 15,909.66 : x
  2. Step 2: Convert to fraction form
    27,842.58/38,425.05 = 15,909.66/x
  3. Step 3: Cross multiply
    27,842.58x = 38,425.05 × 15,909.66
  4. Step 4: Simplify right side
    27,842.58x = 611,329,480.98
  5. Step 5: Solve for x
    x = 611,329,480.98/27,842.58
  6. Step 6: Final answer
    x = 21,956.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.