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Finding the Fourth Proportional to 15,765.50, 23,636.46 and 7,440.74

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Solution

The fourth proportional to 15,765.50, 23,636.46 and 7,440.74 is: 11,155.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,765.50 : 23,636.46 = 7,440.74 : x
  2. Step 2: Convert to fraction form
    15,765.50/23,636.46 = 7,440.74/x
  3. Step 3: Cross multiply
    15,765.50x = 23,636.46 × 7,440.74
  4. Step 4: Simplify right side
    15,765.50x = 175,872,753.38
  5. Step 5: Solve for x
    x = 175,872,753.38/15,765.50
  6. Step 6: Final answer
    x = 11,155.55

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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.