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Finding the Fourth Proportional to 23,312.30, 32,171.13 and 12,701.90

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Solution

The fourth proportional to 23,312.30, 32,171.13 and 12,701.90 is: 17,528.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,312.30 : 32,171.13 = 12,701.90 : x
  2. Step 2: Convert to fraction form
    23,312.30/32,171.13 = 12,701.90/x
  3. Step 3: Cross multiply
    23,312.30x = 32,171.13 × 12,701.90
  4. Step 4: Simplify right side
    23,312.30x = 408,634,476.15
  5. Step 5: Solve for x
    x = 408,634,476.15/23,312.30
  6. Step 6: Final answer
    x = 17,528.71

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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.