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Finding the Fourth Proportional to 12,646.08, 17,446.68 and 7,338.96

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Solution

The fourth proportional to 12,646.08, 17,446.68 and 7,338.96 is: 10,124.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.08 : 17,446.68 = 7,338.96 : x
  2. Step 2: Convert to fraction form
    12,646.08/17,446.68 = 7,338.96/x
  3. Step 3: Cross multiply
    12,646.08x = 17,446.68 × 7,338.96
  4. Step 4: Simplify right side
    12,646.08x = 128,040,486.65
  5. Step 5: Solve for x
    x = 128,040,486.65/12,646.08
  6. Step 6: Final answer
    x = 10,124.92

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