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Finding the Fourth Proportional to 34,514.96, 51,772.51 and 9,555.08

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Solution

The fourth proportional to 34,514.96, 51,772.51 and 9,555.08 is: 14,332.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,514.96 : 51,772.51 = 9,555.08 : x
  2. Step 2: Convert to fraction form
    34,514.96/51,772.51 = 9,555.08/x
  3. Step 3: Cross multiply
    34,514.96x = 51,772.51 × 9,555.08
  4. Step 4: Simplify right side
    34,514.96x = 494,690,474.85
  5. Step 5: Solve for x
    x = 494,690,474.85/34,514.96
  6. Step 6: Final answer
    x = 14,332.64

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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.