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Finding the Fourth Proportional to 14,751.32, 20,346.69 and 8,778.38

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Solution

The fourth proportional to 14,751.32, 20,346.69 and 8,778.38 is: 12,108.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,751.32 : 20,346.69 = 8,778.38 : x
  2. Step 2: Convert to fraction form
    14,751.32/20,346.69 = 8,778.38/x
  3. Step 3: Cross multiply
    14,751.32x = 20,346.69 × 8,778.38
  4. Step 4: Simplify right side
    14,751.32x = 178,610,907.75
  5. Step 5: Solve for x
    x = 178,610,907.75/14,751.32
  6. Step 6: Final answer
    x = 12,108.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.