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Finding the Fourth Proportional to 11,509.20, 17,230.20 and 8,600.40

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Solution

The fourth proportional to 11,509.20, 17,230.20 and 8,600.40 is: 12,875.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509.20 : 17,230.20 = 8,600.40 : x
  2. Step 2: Convert to fraction form
    11,509.20/17,230.20 = 8,600.40/x
  3. Step 3: Cross multiply
    11,509.20x = 17,230.20 × 8,600.40
  4. Step 4: Simplify right side
    11,509.20x = 148,186,612.08
  5. Step 5: Solve for x
    x = 148,186,612.08/11,509.20
  6. Step 6: Final answer
    x = 12,875.49

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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.