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Finding the Fourth Proportional to 21,606.75, 29,817.32 and 12,175.65

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Solution

The fourth proportional to 21,606.75, 29,817.32 and 12,175.65 is: 16,802.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,606.75 : 29,817.32 = 12,175.65 : x
  2. Step 2: Convert to fraction form
    21,606.75/29,817.32 = 12,175.65/x
  3. Step 3: Cross multiply
    21,606.75x = 29,817.32 × 12,175.65
  4. Step 4: Simplify right side
    21,606.75x = 363,045,191.38
  5. Step 5: Solve for x
    x = 363,045,191.38/21,606.75
  6. Step 6: Final answer
    x = 16,802.40

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Why These Related Problems?

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