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Finding the Fourth Proportional to 14,613.84, 21,924.04 and 4,226.40

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Solution

The fourth proportional to 14,613.84, 21,924.04 and 4,226.40 is: 6,340.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,613.84 : 21,924.04 = 4,226.40 : x
  2. Step 2: Convert to fraction form
    14,613.84/21,924.04 = 4,226.40/x
  3. Step 3: Cross multiply
    14,613.84x = 21,924.04 × 4,226.40
  4. Step 4: Simplify right side
    14,613.84x = 92,659,762.66
  5. Step 5: Solve for x
    x = 92,659,762.66/14,613.84
  6. Step 6: Final answer
    x = 6,340.55

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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.