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Finding the Fourth Proportional to 15,529.82, 23,275.28 and 12,229.88

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Solution

The fourth proportional to 15,529.82, 23,275.28 and 12,229.88 is: 18,329.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,529.82 : 23,275.28 = 12,229.88 : x
  2. Step 2: Convert to fraction form
    15,529.82/23,275.28 = 12,229.88/x
  3. Step 3: Cross multiply
    15,529.82x = 23,275.28 × 12,229.88
  4. Step 4: Simplify right side
    15,529.82x = 284,653,703.84
  5. Step 5: Solve for x
    x = 284,653,703.84/15,529.82
  6. Step 6: Final answer
    x = 18,329.50

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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.