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Finding the Fourth Proportional to 21,707.65, 32,564.94 and 9,227.80

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Solution

The fourth proportional to 21,707.65, 32,564.94 and 9,227.80 is: 13,843.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,707.65 : 32,564.94 = 9,227.80 : x
  2. Step 2: Convert to fraction form
    21,707.65/32,564.94 = 9,227.80/x
  3. Step 3: Cross multiply
    21,707.65x = 32,564.94 × 9,227.80
  4. Step 4: Simplify right side
    21,707.65x = 300,502,753.33
  5. Step 5: Solve for x
    x = 300,502,753.33/21,707.65
  6. Step 6: Final answer
    x = 13,843.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.