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Finding the Fourth Proportional to 12,595.22, 17,381.42 and 7,006.22

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Solution

The fourth proportional to 12,595.22, 17,381.42 and 7,006.22 is: 9,668.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,595.22 : 17,381.42 = 7,006.22 : x
  2. Step 2: Convert to fraction form
    12,595.22/17,381.42 = 7,006.22/x
  3. Step 3: Cross multiply
    12,595.22x = 17,381.42 × 7,006.22
  4. Step 4: Simplify right side
    12,595.22x = 121,778,021.95
  5. Step 5: Solve for x
    x = 121,778,021.95/12,595.22
  6. Step 6: Final answer
    x = 9,668.59

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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.