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Finding the Fourth Proportional to 22,030.80, 33,046.20 and 13,282.80

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Solution

The fourth proportional to 22,030.80, 33,046.20 and 13,282.80 is: 19,924.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,030.80 : 33,046.20 = 13,282.80 : x
  2. Step 2: Convert to fraction form
    22,030.80/33,046.20 = 13,282.80/x
  3. Step 3: Cross multiply
    22,030.80x = 33,046.20 × 13,282.80
  4. Step 4: Simplify right side
    22,030.80x = 438,946,065.36
  5. Step 5: Solve for x
    x = 438,946,065.36/22,030.80
  6. Step 6: Final answer
    x = 19,924.20

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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.