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Finding the Fourth Proportional to 21,478.41, 32,198.17 and 7,624.17

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Solution

The fourth proportional to 21,478.41, 32,198.17 and 7,624.17 is: 11,429.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,478.41 : 32,198.17 = 7,624.17 : x
  2. Step 2: Convert to fraction form
    21,478.41/32,198.17 = 7,624.17/x
  3. Step 3: Cross multiply
    21,478.41x = 32,198.17 × 7,624.17
  4. Step 4: Simplify right side
    21,478.41x = 245,484,321.77
  5. Step 5: Solve for x
    x = 245,484,321.77/21,478.41
  6. Step 6: Final answer
    x = 11,429.35

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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.