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Finding the Fourth Proportional to 14,766, 22,152.65 and 4,377.75

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Solution

The fourth proportional to 14,766, 22,152.65 and 4,377.75 is: 6,567.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,766 : 22,152.65 = 4,377.75 : x
  2. Step 2: Convert to fraction form
    14,766/22,152.65 = 4,377.75/x
  3. Step 3: Cross multiply
    14,766x = 22,152.65 × 4,377.75
  4. Step 4: Simplify right side
    14,766x = 96,978,741.65
  5. Step 5: Solve for x
    x = 96,978,741.65/14,766
  6. Step 6: Final answer
    x = 6,567.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.