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Finding the Fourth Proportional to 14,615.32, 20,164.38 and 8,944.15

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Solution

The fourth proportional to 14,615.32, 20,164.38 and 8,944.15 is: 12,340.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,615.32 : 20,164.38 = 8,944.15 : x
  2. Step 2: Convert to fraction form
    14,615.32/20,164.38 = 8,944.15/x
  3. Step 3: Cross multiply
    14,615.32x = 20,164.38 × 8,944.15
  4. Step 4: Simplify right side
    14,615.32x = 180,353,239.38
  5. Step 5: Solve for x
    x = 180,353,239.38/14,615.32
  6. Step 6: Final answer
    x = 12,340.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.