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Finding the Fourth Proportional to 20,045.82, 30,061.44 and 6,894.66

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Solution

The fourth proportional to 20,045.82, 30,061.44 and 6,894.66 is: 10,339.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,045.82 : 30,061.44 = 6,894.66 : x
  2. Step 2: Convert to fraction form
    20,045.82/30,061.44 = 6,894.66/x
  3. Step 3: Cross multiply
    20,045.82x = 30,061.44 × 6,894.66
  4. Step 4: Simplify right side
    20,045.82x = 207,263,407.91
  5. Step 5: Solve for x
    x = 207,263,407.91/20,045.82
  6. Step 6: Final answer
    x = 10,339.48

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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.