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Finding the Fourth Proportional to 23,180.16, 34,776 and 6,764.16

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Solution

The fourth proportional to 23,180.16, 34,776 and 6,764.16 is: 10,147.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,180.16 : 34,776 = 6,764.16 : x
  2. Step 2: Convert to fraction form
    23,180.16/34,776 = 6,764.16/x
  3. Step 3: Cross multiply
    23,180.16x = 34,776 × 6,764.16
  4. Step 4: Simplify right side
    23,180.16x = 235,230,428.16
  5. Step 5: Solve for x
    x = 235,230,428.16/23,180.16
  6. Step 6: Final answer
    x = 10,147.92

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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.