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Finding the Fourth Proportional to 22,357.80, 33,552.07 and 9,210.16

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Solution

The fourth proportional to 22,357.80, 33,552.07 and 9,210.16 is: 13,821.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,357.80 : 33,552.07 = 9,210.16 : x
  2. Step 2: Convert to fraction form
    22,357.80/33,552.07 = 9,210.16/x
  3. Step 3: Cross multiply
    22,357.80x = 33,552.07 × 9,210.16
  4. Step 4: Simplify right side
    22,357.80x = 309,019,933.03
  5. Step 5: Solve for x
    x = 309,019,933.03/22,357.80
  6. Step 6: Final answer
    x = 13,821.57

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