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Finding the Fourth Proportional to 22,329.30, 33,470.64 and 7,533.12

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Solution

The fourth proportional to 22,329.30, 33,470.64 and 7,533.12 is: 11,291.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,329.30 : 33,470.64 = 7,533.12 : x
  2. Step 2: Convert to fraction form
    22,329.30/33,470.64 = 7,533.12/x
  3. Step 3: Cross multiply
    22,329.30x = 33,470.64 × 7,533.12
  4. Step 4: Simplify right side
    22,329.30x = 252,138,347.60
  5. Step 5: Solve for x
    x = 252,138,347.60/22,329.30
  6. Step 6: Final answer
    x = 11,291.82

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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.