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Finding the Fourth Proportional to 14,626.32, 21,949.20 and 6,835.74

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Solution

The fourth proportional to 14,626.32, 21,949.20 and 6,835.74 is: 10,258.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,626.32 : 21,949.20 = 6,835.74 : x
  2. Step 2: Convert to fraction form
    14,626.32/21,949.20 = 6,835.74/x
  3. Step 3: Cross multiply
    14,626.32x = 21,949.20 × 6,835.74
  4. Step 4: Simplify right side
    14,626.32x = 150,039,024.41
  5. Step 5: Solve for x
    x = 150,039,024.41/14,626.32
  6. Step 6: Final answer
    x = 10,258.15

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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.