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Finding the Fourth Proportional to 22,732.84, 34,075.57 and 13,365.19

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Solution

The fourth proportional to 22,732.84, 34,075.57 and 13,365.19 is: 20,033.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,732.84 : 34,075.57 = 13,365.19 : x
  2. Step 2: Convert to fraction form
    22,732.84/34,075.57 = 13,365.19/x
  3. Step 3: Cross multiply
    22,732.84x = 34,075.57 × 13,365.19
  4. Step 4: Simplify right side
    22,732.84x = 455,426,467.41
  5. Step 5: Solve for x
    x = 455,426,467.41/22,732.84
  6. Step 6: Final answer
    x = 20,033.86

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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.