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Finding the Fourth Proportional to 15,711.96, 23,564.28 and 6,942.08

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Solution

The fourth proportional to 15,711.96, 23,564.28 and 6,942.08 is: 10,411.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,711.96 : 23,564.28 = 6,942.08 : x
  2. Step 2: Convert to fraction form
    15,711.96/23,564.28 = 6,942.08/x
  3. Step 3: Cross multiply
    15,711.96x = 23,564.28 × 6,942.08
  4. Step 4: Simplify right side
    15,711.96x = 163,585,116.90
  5. Step 5: Solve for x
    x = 163,585,116.90/15,711.96
  6. Step 6: Final answer
    x = 10,411.50

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Why These Related Problems?

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