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Finding the Fourth Proportional to 27,642.56, 38,145.57 and 16,312.47

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Solution

The fourth proportional to 27,642.56, 38,145.57 and 16,312.47 is: 22,510.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,642.56 : 38,145.57 = 16,312.47 : x
  2. Step 2: Convert to fraction form
    27,642.56/38,145.57 = 16,312.47/x
  3. Step 3: Cross multiply
    27,642.56x = 38,145.57 × 16,312.47
  4. Step 4: Simplify right side
    27,642.56x = 622,248,466.26
  5. Step 5: Solve for x
    x = 622,248,466.26/27,642.56
  6. Step 6: Final answer
    x = 22,510.53

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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.