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Finding the Fourth Proportional to 17,646.64, 26,476.08 and 11,747.20

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Solution

The fourth proportional to 17,646.64, 26,476.08 and 11,747.20 is: 17,624.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,646.64 : 26,476.08 = 11,747.20 : x
  2. Step 2: Convert to fraction form
    17,646.64/26,476.08 = 11,747.20/x
  3. Step 3: Cross multiply
    17,646.64x = 26,476.08 × 11,747.20
  4. Step 4: Simplify right side
    17,646.64x = 311,019,806.98
  5. Step 5: Solve for x
    x = 311,019,806.98/17,646.64
  6. Step 6: Final answer
    x = 17,624.87

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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.