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Finding the Fourth Proportional to 27,842.01, 38,421.86 and 15,266.76

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Solution

The fourth proportional to 27,842.01, 38,421.86 and 15,266.76 is: 21,068.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,842.01 : 38,421.86 = 15,266.76 : x
  2. Step 2: Convert to fraction form
    27,842.01/38,421.86 = 15,266.76/x
  3. Step 3: Cross multiply
    27,842.01x = 38,421.86 × 15,266.76
  4. Step 4: Simplify right side
    27,842.01x = 586,577,239.04
  5. Step 5: Solve for x
    x = 586,577,239.04/27,842.01
  6. Step 6: Final answer
    x = 21,068.06

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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.