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Finding the Fourth Proportional to 16,189.74, 22,343.00 and 9,020.25

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Solution

The fourth proportional to 16,189.74, 22,343.00 and 9,020.25 is: 12,448.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,189.74 : 22,343.00 = 9,020.25 : x
  2. Step 2: Convert to fraction form
    16,189.74/22,343.00 = 9,020.25/x
  3. Step 3: Cross multiply
    16,189.74x = 22,343.00 × 9,020.25
  4. Step 4: Simplify right side
    16,189.74x = 201,539,400.65
  5. Step 5: Solve for x
    x = 201,539,400.65/16,189.74
  6. Step 6: Final answer
    x = 12,448.59

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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.