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Finding the Fourth Proportional to 15,295.59, 22,946.70 and 4,765.41

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Solution

The fourth proportional to 15,295.59, 22,946.70 and 4,765.41 is: 7,149.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,295.59 : 22,946.70 = 4,765.41 : x
  2. Step 2: Convert to fraction form
    15,295.59/22,946.70 = 4,765.41/x
  3. Step 3: Cross multiply
    15,295.59x = 22,946.70 × 4,765.41
  4. Step 4: Simplify right side
    15,295.59x = 109,350,433.65
  5. Step 5: Solve for x
    x = 109,350,433.65/15,295.59
  6. Step 6: Final answer
    x = 7,149.15

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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.