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Finding the Fourth Proportional to 15,709.69, 23,561.25 and 4,613.41

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Solution

The fourth proportional to 15,709.69, 23,561.25 and 4,613.41 is: 6,919.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,709.69 : 23,561.25 = 4,613.41 : x
  2. Step 2: Convert to fraction form
    15,709.69/23,561.25 = 4,613.41/x
  3. Step 3: Cross multiply
    15,709.69x = 23,561.25 × 4,613.41
  4. Step 4: Simplify right side
    15,709.69x = 108,697,706.36
  5. Step 5: Solve for x
    x = 108,697,706.36/15,709.69
  6. Step 6: Final answer
    x = 6,919.15

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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.