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Finding the Fourth Proportional to 23,681.72, 32,680.49 and 13,071.13

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Solution

The fourth proportional to 23,681.72, 32,680.49 and 13,071.13 is: 18,037.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,681.72 : 32,680.49 = 13,071.13 : x
  2. Step 2: Convert to fraction form
    23,681.72/32,680.49 = 13,071.13/x
  3. Step 3: Cross multiply
    23,681.72x = 32,680.49 × 13,071.13
  4. Step 4: Simplify right side
    23,681.72x = 427,170,786.20
  5. Step 5: Solve for x
    x = 427,170,786.20/23,681.72
  6. Step 6: Final answer
    x = 18,037.99

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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.