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Finding the Fourth Proportional to 34,480.64, 51,711.52 and 9,514.72

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Solution

The fourth proportional to 34,480.64, 51,711.52 and 9,514.72 is: 14,269.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,480.64 : 51,711.52 = 9,514.72 : x
  2. Step 2: Convert to fraction form
    34,480.64/51,711.52 = 9,514.72/x
  3. Step 3: Cross multiply
    34,480.64x = 51,711.52 × 9,514.72
  4. Step 4: Simplify right side
    34,480.64x = 492,020,633.57
  5. Step 5: Solve for x
    x = 492,020,633.57/34,480.64
  6. Step 6: Final answer
    x = 14,269.48

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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.