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Finding the Fourth Proportional to 15,772.50, 23,658.75 and 7,006.74

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Solution

The fourth proportional to 15,772.50, 23,658.75 and 7,006.74 is: 10,510.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,772.50 : 23,658.75 = 7,006.74 : x
  2. Step 2: Convert to fraction form
    15,772.50/23,658.75 = 7,006.74/x
  3. Step 3: Cross multiply
    15,772.50x = 23,658.75 × 7,006.74
  4. Step 4: Simplify right side
    15,772.50x = 165,770,709.98
  5. Step 5: Solve for x
    x = 165,770,709.98/15,772.50
  6. Step 6: Final answer
    x = 10,510.11

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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.