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Finding the Fourth Proportional to 20,570.29, 30,853.90 and 7,422.66

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Solution

The fourth proportional to 20,570.29, 30,853.90 and 7,422.66 is: 11,133.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,570.29 : 30,853.90 = 7,422.66 : x
  2. Step 2: Convert to fraction form
    20,570.29/30,853.90 = 7,422.66/x
  3. Step 3: Cross multiply
    20,570.29x = 30,853.90 × 7,422.66
  4. Step 4: Simplify right side
    20,570.29x = 229,018,005.83
  5. Step 5: Solve for x
    x = 229,018,005.83/20,570.29
  6. Step 6: Final answer
    x = 11,133.44

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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.