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Finding the Fourth Proportional to 14,432.25, 21,585.83 and 8,494.99

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Solution

The fourth proportional to 14,432.25, 21,585.83 and 8,494.99 is: 12,705.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,432.25 : 21,585.83 = 8,494.99 : x
  2. Step 2: Convert to fraction form
    14,432.25/21,585.83 = 8,494.99/x
  3. Step 3: Cross multiply
    14,432.25x = 21,585.83 × 8,494.99
  4. Step 4: Simplify right side
    14,432.25x = 183,371,377.26
  5. Step 5: Solve for x
    x = 183,371,377.26/14,432.25
  6. Step 6: Final answer
    x = 12,705.67

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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.