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Finding the Fourth Proportional to 26,478.72, 39,706.40 and 12,442.74

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Solution

The fourth proportional to 26,478.72, 39,706.40 and 12,442.74 is: 18,658.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,478.72 : 39,706.40 = 12,442.74 : x
  2. Step 2: Convert to fraction form
    26,478.72/39,706.40 = 12,442.74/x
  3. Step 3: Cross multiply
    26,478.72x = 39,706.40 × 12,442.74
  4. Step 4: Simplify right side
    26,478.72x = 494,056,411.54
  5. Step 5: Solve for x
    x = 494,056,411.54/26,478.72
  6. Step 6: Final answer
    x = 18,658.62

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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.