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Finding the Fourth Proportional to 22,381.23, 33,574.04 and 8,153.58

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Solution

The fourth proportional to 22,381.23, 33,574.04 and 8,153.58 is: 12,231.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,381.23 : 33,574.04 = 8,153.58 : x
  2. Step 2: Convert to fraction form
    22,381.23/33,574.04 = 8,153.58/x
  3. Step 3: Cross multiply
    22,381.23x = 33,574.04 × 8,153.58
  4. Step 4: Simplify right side
    22,381.23x = 273,748,545.47
  5. Step 5: Solve for x
    x = 273,748,545.47/22,381.23
  6. Step 6: Final answer
    x = 12,231.16

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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.