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Finding the Fourth Proportional to 12,288.24, 18,421.92 and 5,718.24

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Solution

The fourth proportional to 12,288.24, 18,421.92 and 5,718.24 is: 8,572.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,288.24 : 18,421.92 = 5,718.24 : x
  2. Step 2: Convert to fraction form
    12,288.24/18,421.92 = 5,718.24/x
  3. Step 3: Cross multiply
    12,288.24x = 18,421.92 × 5,718.24
  4. Step 4: Simplify right side
    12,288.24x = 105,340,959.82
  5. Step 5: Solve for x
    x = 105,340,959.82/12,288.24
  6. Step 6: Final answer
    x = 8,572.50

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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.