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Finding the Fourth Proportional to 10,020.26, 13,818.49 and 7,473.63

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Solution

The fourth proportional to 10,020.26, 13,818.49 and 7,473.63 is: 10,306.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,020.26 : 13,818.49 = 7,473.63 : x
  2. Step 2: Convert to fraction form
    10,020.26/13,818.49 = 7,473.63/x
  3. Step 3: Cross multiply
    10,020.26x = 13,818.49 × 7,473.63
  4. Step 4: Simplify right side
    10,020.26x = 103,274,281.42
  5. Step 5: Solve for x
    x = 103,274,281.42/10,020.26
  6. Step 6: Final answer
    x = 10,306.55

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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.