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Finding the Fourth Proportional to 27,870.56, 38,462.16 and 15,296.12

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Solution

The fourth proportional to 27,870.56, 38,462.16 and 15,296.12 is: 21,109.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,870.56 : 38,462.16 = 15,296.12 : x
  2. Step 2: Convert to fraction form
    27,870.56/38,462.16 = 15,296.12/x
  3. Step 3: Cross multiply
    27,870.56x = 38,462.16 × 15,296.12
  4. Step 4: Simplify right side
    27,870.56x = 588,321,814.82
  5. Step 5: Solve for x
    x = 588,321,814.82/27,870.56
  6. Step 6: Final answer
    x = 21,109.08

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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.