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Finding the Fourth Proportional to 14,570.82, 21,856.23 and 4,182.57

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Solution

The fourth proportional to 14,570.82, 21,856.23 and 4,182.57 is: 6,273.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,570.82 : 21,856.23 = 4,182.57 : x
  2. Step 2: Convert to fraction form
    14,570.82/21,856.23 = 4,182.57/x
  3. Step 3: Cross multiply
    14,570.82x = 21,856.23 × 4,182.57
  4. Step 4: Simplify right side
    14,570.82x = 91,415,211.91
  5. Step 5: Solve for x
    x = 91,415,211.91/14,570.82
  6. Step 6: Final answer
    x = 6,273.86

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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.