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Finding the Fourth Proportional to 16,006.84, 22,089.22 and 8,933.16

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Solution

The fourth proportional to 16,006.84, 22,089.22 and 8,933.16 is: 12,327.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,006.84 : 22,089.22 = 8,933.16 : x
  2. Step 2: Convert to fraction form
    16,006.84/22,089.22 = 8,933.16/x
  3. Step 3: Cross multiply
    16,006.84x = 22,089.22 × 8,933.16
  4. Step 4: Simplify right side
    16,006.84x = 197,326,536.54
  5. Step 5: Solve for x
    x = 197,326,536.54/16,006.84
  6. Step 6: Final answer
    x = 12,327.64

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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.