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Finding the Fourth Proportional to 11,644.39, 17,459.28 and 8,482.96

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Solution

The fourth proportional to 11,644.39, 17,459.28 and 8,482.96 is: 12,719.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.39 : 17,459.28 = 8,482.96 : x
  2. Step 2: Convert to fraction form
    11,644.39/17,459.28 = 8,482.96/x
  3. Step 3: Cross multiply
    11,644.39x = 17,459.28 × 8,482.96
  4. Step 4: Simplify right side
    11,644.39x = 148,106,373.87
  5. Step 5: Solve for x
    x = 148,106,373.87/11,644.39
  6. Step 6: Final answer
    x = 12,719.12

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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.