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Finding the Fourth Proportional to 14,572.98, 21,853.92 and 5,211.27

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Solution

The fourth proportional to 14,572.98, 21,853.92 and 5,211.27 is: 7,814.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,572.98 : 21,853.92 = 5,211.27 : x
  2. Step 2: Convert to fraction form
    14,572.98/21,853.92 = 5,211.27/x
  3. Step 3: Cross multiply
    14,572.98x = 21,853.92 × 5,211.27
  4. Step 4: Simplify right side
    14,572.98x = 113,886,677.68
  5. Step 5: Solve for x
    x = 113,886,677.68/14,572.98
  6. Step 6: Final answer
    x = 7,814.92

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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.