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Finding the Fourth Proportional to 22,182.18, 33,235.64 and 13,398.63

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Solution

The fourth proportional to 22,182.18, 33,235.64 and 13,398.63 is: 20,075.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,182.18 : 33,235.64 = 13,398.63 : x
  2. Step 2: Convert to fraction form
    22,182.18/33,235.64 = 13,398.63/x
  3. Step 3: Cross multiply
    22,182.18x = 33,235.64 × 13,398.63
  4. Step 4: Simplify right side
    22,182.18x = 445,312,043.17
  5. Step 5: Solve for x
    x = 445,312,043.17/22,182.18
  6. Step 6: Final answer
    x = 20,075.22

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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.