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Finding the Fourth Proportional to 17,602.68, 26,401.14 and 6,514.62

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Solution

The fourth proportional to 17,602.68, 26,401.14 and 6,514.62 is: 9,770.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,602.68 : 26,401.14 = 6,514.62 : x
  2. Step 2: Convert to fraction form
    17,602.68/26,401.14 = 6,514.62/x
  3. Step 3: Cross multiply
    17,602.68x = 26,401.14 × 6,514.62
  4. Step 4: Simplify right side
    17,602.68x = 171,993,394.67
  5. Step 5: Solve for x
    x = 171,993,394.67/17,602.68
  6. Step 6: Final answer
    x = 9,770.86

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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.