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Finding the Fourth Proportional to 21,010.29, 31,506.53 and 7,853.46

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Solution

The fourth proportional to 21,010.29, 31,506.53 and 7,853.46 is: 11,776.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,010.29 : 31,506.53 = 7,853.46 : x
  2. Step 2: Convert to fraction form
    21,010.29/31,506.53 = 7,853.46/x
  3. Step 3: Cross multiply
    21,010.29x = 31,506.53 × 7,853.46
  4. Step 4: Simplify right side
    21,010.29x = 247,435,233.83
  5. Step 5: Solve for x
    x = 247,435,233.83/21,010.29
  6. Step 6: Final answer
    x = 11,776.86

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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.