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Finding the Fourth Proportional to 15,718.77, 23,578.89 and 5,189.71

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Solution

The fourth proportional to 15,718.77, 23,578.89 and 5,189.71 is: 7,784.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,718.77 : 23,578.89 = 5,189.71 : x
  2. Step 2: Convert to fraction form
    15,718.77/23,578.89 = 5,189.71/x
  3. Step 3: Cross multiply
    15,718.77x = 23,578.89 × 5,189.71
  4. Step 4: Simplify right side
    15,718.77x = 122,367,601.22
  5. Step 5: Solve for x
    x = 122,367,601.22/15,718.77
  6. Step 6: Final answer
    x = 7,784.81

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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.