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Finding the Fourth Proportional to 15,578.81, 23,359.87 and 7,262.74

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Solution

The fourth proportional to 15,578.81, 23,359.87 and 7,262.74 is: 10,890.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,578.81 : 23,359.87 = 7,262.74 : x
  2. Step 2: Convert to fraction form
    15,578.81/23,359.87 = 7,262.74/x
  3. Step 3: Cross multiply
    15,578.81x = 23,359.87 × 7,262.74
  4. Step 4: Simplify right side
    15,578.81x = 169,656,662.24
  5. Step 5: Solve for x
    x = 169,656,662.24/15,578.81
  6. Step 6: Final answer
    x = 10,890.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.