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Finding the Fourth Proportional to 14,441.60, 21,663.84 and 5,205.44

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Solution

The fourth proportional to 14,441.60, 21,663.84 and 5,205.44 is: 7,808.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,441.60 : 21,663.84 = 5,205.44 : x
  2. Step 2: Convert to fraction form
    14,441.60/21,663.84 = 5,205.44/x
  3. Step 3: Cross multiply
    14,441.60x = 21,663.84 × 5,205.44
  4. Step 4: Simplify right side
    14,441.60x = 112,769,819.29
  5. Step 5: Solve for x
    x = 112,769,819.29/14,441.60
  6. Step 6: Final answer
    x = 7,808.68

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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.