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Finding the Fourth Proportional to 43,826, 65,706.18 and 14,226.16

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Solution

The fourth proportional to 43,826, 65,706.18 and 14,226.16 is: 21,328.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,826 : 65,706.18 = 14,226.16 : x
  2. Step 2: Convert to fraction form
    43,826/65,706.18 = 14,226.16/x
  3. Step 3: Cross multiply
    43,826x = 65,706.18 × 14,226.16
  4. Step 4: Simplify right side
    43,826x = 934,746,629.67
  5. Step 5: Solve for x
    x = 934,746,629.67/43,826
  6. Step 6: Final answer
    x = 21,328.59

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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.