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Finding the Fourth Proportional to 17,459.34, 26,196 and 6,366.84

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Solution

The fourth proportional to 17,459.34, 26,196 and 6,366.84 is: 9,552.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,459.34 : 26,196 = 6,366.84 : x
  2. Step 2: Convert to fraction form
    17,459.34/26,196 = 6,366.84/x
  3. Step 3: Cross multiply
    17,459.34x = 26,196 × 6,366.84
  4. Step 4: Simplify right side
    17,459.34x = 166,785,740.64
  5. Step 5: Solve for x
    x = 166,785,740.64/17,459.34
  6. Step 6: Final answer
    x = 9,552.81

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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.