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Finding the Fourth Proportional to 22,210.20, 33,281.69 and 9,723.24

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Solution

The fourth proportional to 22,210.20, 33,281.69 and 9,723.24 is: 14,570.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,210.20 : 33,281.69 = 9,723.24 : x
  2. Step 2: Convert to fraction form
    22,210.20/33,281.69 = 9,723.24/x
  3. Step 3: Cross multiply
    22,210.20x = 33,281.69 × 9,723.24
  4. Step 4: Simplify right side
    22,210.20x = 323,605,810.86
  5. Step 5: Solve for x
    x = 323,605,810.86/22,210.20
  6. Step 6: Final answer
    x = 14,570.14

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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.