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Finding the Fourth Proportional to 23,905.48, 35,858.40 and 8,312.17

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Solution

The fourth proportional to 23,905.48, 35,858.40 and 8,312.17 is: 12,468.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,905.48 : 35,858.40 = 8,312.17 : x
  2. Step 2: Convert to fraction form
    23,905.48/35,858.40 = 8,312.17/x
  3. Step 3: Cross multiply
    23,905.48x = 35,858.40 × 8,312.17
  4. Step 4: Simplify right side
    23,905.48x = 298,061,116.73
  5. Step 5: Solve for x
    x = 298,061,116.73/23,905.48
  6. Step 6: Final answer
    x = 12,468.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.