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Finding the Fourth Proportional to 23,706.41, 32,712.05 and 13,095.41

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Solution

The fourth proportional to 23,706.41, 32,712.05 and 13,095.41 is: 18,070.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,706.41 : 32,712.05 = 13,095.41 : x
  2. Step 2: Convert to fraction form
    23,706.41/32,712.05 = 13,095.41/x
  3. Step 3: Cross multiply
    23,706.41x = 32,712.05 × 13,095.41
  4. Step 4: Simplify right side
    23,706.41x = 428,377,575.87
  5. Step 5: Solve for x
    x = 428,377,575.87/23,706.41
  6. Step 6: Final answer
    x = 18,070.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.