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Finding the Fourth Proportional to 34,613.86, 51,920.04 and 9,653.24

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Solution

The fourth proportional to 34,613.86, 51,920.04 and 9,653.24 is: 14,479.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,613.86 : 51,920.04 = 9,653.24 : x
  2. Step 2: Convert to fraction form
    34,613.86/51,920.04 = 9,653.24/x
  3. Step 3: Cross multiply
    34,613.86x = 51,920.04 × 9,653.24
  4. Step 4: Simplify right side
    34,613.86x = 501,196,736.73
  5. Step 5: Solve for x
    x = 501,196,736.73/34,613.86
  6. Step 6: Final answer
    x = 14,479.66

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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.