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Finding the Fourth Proportional to 12,349.65, 17,043.75 and 7,044.42

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Solution

The fourth proportional to 12,349.65, 17,043.75 and 7,044.42 is: 9,722.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,349.65 : 17,043.75 = 7,044.42 : x
  2. Step 2: Convert to fraction form
    12,349.65/17,043.75 = 7,044.42/x
  3. Step 3: Cross multiply
    12,349.65x = 17,043.75 × 7,044.42
  4. Step 4: Simplify right side
    12,349.65x = 120,063,333.38
  5. Step 5: Solve for x
    x = 120,063,333.38/12,349.65
  6. Step 6: Final answer
    x = 9,722.00

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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.