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Finding the Fourth Proportional to 16,214.84, 22,374.84 and 11,968.22

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Solution

The fourth proportional to 16,214.84, 22,374.84 and 11,968.22 is: 16,514.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214.84 : 22,374.84 = 11,968.22 : x
  2. Step 2: Convert to fraction form
    16,214.84/22,374.84 = 11,968.22/x
  3. Step 3: Cross multiply
    16,214.84x = 22,374.84 × 11,968.22
  4. Step 4: Simplify right side
    16,214.84x = 267,787,007.58
  5. Step 5: Solve for x
    x = 267,787,007.58/16,214.84
  6. Step 6: Final answer
    x = 16,514.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.