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Finding the Fourth Proportional to 16,029.71, 22,116.06 and 9,314.06

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Solution

The fourth proportional to 16,029.71, 22,116.06 and 9,314.06 is: 12,850.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,029.71 : 22,116.06 = 9,314.06 : x
  2. Step 2: Convert to fraction form
    16,029.71/22,116.06 = 9,314.06/x
  3. Step 3: Cross multiply
    16,029.71x = 22,116.06 × 9,314.06
  4. Step 4: Simplify right side
    16,029.71x = 205,990,365.09
  5. Step 5: Solve for x
    x = 205,990,365.09/16,029.71
  6. Step 6: Final answer
    x = 12,850.54

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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.