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Finding the Fourth Proportional to 15,048.92, 22,576 and 6,289.98

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Solution

The fourth proportional to 15,048.92, 22,576 and 6,289.98 is: 9,436.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,048.92 : 22,576 = 6,289.98 : x
  2. Step 2: Convert to fraction form
    15,048.92/22,576 = 6,289.98/x
  3. Step 3: Cross multiply
    15,048.92x = 22,576 × 6,289.98
  4. Step 4: Simplify right side
    15,048.92x = 142,002,588.48
  5. Step 5: Solve for x
    x = 142,002,588.48/15,048.92
  6. Step 6: Final answer
    x = 9,436.07

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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.