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Finding the Fourth Proportional to 12,230.10, 18,308.70 and 11,509.20

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Solution

The fourth proportional to 12,230.10, 18,308.70 and 11,509.20 is: 17,229.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,230.10 : 18,308.70 = 11,509.20 : x
  2. Step 2: Convert to fraction form
    12,230.10/18,308.70 = 11,509.20/x
  3. Step 3: Cross multiply
    12,230.10x = 18,308.70 × 11,509.20
  4. Step 4: Simplify right side
    12,230.10x = 210,718,490.04
  5. Step 5: Solve for x
    x = 210,718,490.04/12,230.10
  6. Step 6: Final answer
    x = 17,229.50

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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.