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Finding the Fourth Proportional to 23,828.78, 32,817.12 and 23,312.21

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Solution

The fourth proportional to 23,828.78, 32,817.12 and 23,312.21 is: 32,105.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,828.78 : 32,817.12 = 23,312.21 : x
  2. Step 2: Convert to fraction form
    23,828.78/32,817.12 = 23,312.21/x
  3. Step 3: Cross multiply
    23,828.78x = 32,817.12 × 23,312.21
  4. Step 4: Simplify right side
    23,828.78x = 765,039,428.95
  5. Step 5: Solve for x
    x = 765,039,428.95/23,828.78
  6. Step 6: Final answer
    x = 32,105.70

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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.