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Finding the Fourth Proportional to 14,574.40, 21,856.24 and 5,211.88

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Solution

The fourth proportional to 14,574.40, 21,856.24 and 5,211.88 is: 7,815.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,574.40 : 21,856.24 = 5,211.88 : x
  2. Step 2: Convert to fraction form
    14,574.40/21,856.24 = 5,211.88/x
  3. Step 3: Cross multiply
    14,574.40x = 21,856.24 × 5,211.88
  4. Step 4: Simplify right side
    14,574.40x = 113,912,052.01
  5. Step 5: Solve for x
    x = 113,912,052.01/14,574.40
  6. Step 6: Final answer
    x = 7,815.90

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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.