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Finding the Fourth Proportional to 15,731.35, 21,706.78 and 9,015.69

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Solution

The fourth proportional to 15,731.35, 21,706.78 and 9,015.69 is: 12,440.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,731.35 : 21,706.78 = 9,015.69 : x
  2. Step 2: Convert to fraction form
    15,731.35/21,706.78 = 9,015.69/x
  3. Step 3: Cross multiply
    15,731.35x = 21,706.78 × 9,015.69
  4. Step 4: Simplify right side
    15,731.35x = 195,701,599.38
  5. Step 5: Solve for x
    x = 195,701,599.38/15,731.35
  6. Step 6: Final answer
    x = 12,440.23

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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.