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Finding the Fourth Proportional to 11,677.65, 17,514.59 and 3,355.76

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Solution

The fourth proportional to 11,677.65, 17,514.59 and 3,355.76 is: 5,033.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.65 : 17,514.59 = 3,355.76 : x
  2. Step 2: Convert to fraction form
    11,677.65/17,514.59 = 3,355.76/x
  3. Step 3: Cross multiply
    11,677.65x = 17,514.59 × 3,355.76
  4. Step 4: Simplify right side
    11,677.65x = 58,774,787.55
  5. Step 5: Solve for x
    x = 58,774,787.55/11,677.65
  6. Step 6: Final answer
    x = 5,033.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.