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Finding the Fourth Proportional to 12,295.32, 18,442.50 and 3,530.20

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Solution

The fourth proportional to 12,295.32, 18,442.50 and 3,530.20 is: 5,295.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,295.32 : 18,442.50 = 3,530.20 : x
  2. Step 2: Convert to fraction form
    12,295.32/18,442.50 = 3,530.20/x
  3. Step 3: Cross multiply
    12,295.32x = 18,442.50 × 3,530.20
  4. Step 4: Simplify right side
    12,295.32x = 65,105,713.50
  5. Step 5: Solve for x
    x = 65,105,713.50/12,295.32
  6. Step 6: Final answer
    x = 5,295.16

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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.