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Finding the Fourth Proportional to 15,642.77, 23,461.71 and 5,112.71

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Solution

The fourth proportional to 15,642.77, 23,461.71 and 5,112.71 is: 7,668.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,642.77 : 23,461.71 = 5,112.71 : x
  2. Step 2: Convert to fraction form
    15,642.77/23,461.71 = 5,112.71/x
  3. Step 3: Cross multiply
    15,642.77x = 23,461.71 × 5,112.71
  4. Step 4: Simplify right side
    15,642.77x = 119,952,919.33
  5. Step 5: Solve for x
    x = 119,952,919.33/15,642.77
  6. Step 6: Final answer
    x = 7,668.27

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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.