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Finding the Fourth Proportional to 15,084, 22,627.92 and 4,140

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Solution

The fourth proportional to 15,084, 22,627.92 and 4,140 is: 6,210.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,084 : 22,627.92 = 4,140 : x
  2. Step 2: Convert to fraction form
    15,084/22,627.92 = 4,140/x
  3. Step 3: Cross multiply
    15,084x = 22,627.92 × 4,140
  4. Step 4: Simplify right side
    15,084x = 93,679,588.80
  5. Step 5: Solve for x
    x = 93,679,588.80/15,084
  6. Step 6: Final answer
    x = 6,210.53

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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.