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Finding the Fourth Proportional to 12,666.30, 17,479.38 and 7,001.40

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Solution

The fourth proportional to 12,666.30, 17,479.38 and 7,001.40 is: 9,661.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,666.30 : 17,479.38 = 7,001.40 : x
  2. Step 2: Convert to fraction form
    12,666.30/17,479.38 = 7,001.40/x
  3. Step 3: Cross multiply
    12,666.30x = 17,479.38 × 7,001.40
  4. Step 4: Simplify right side
    12,666.30x = 122,380,131.13
  5. Step 5: Solve for x
    x = 122,380,131.13/12,666.30
  6. Step 6: Final answer
    x = 9,661.87

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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.