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Finding the Fourth Proportional to 24,545.84, 33,872.51 and 13,643.94

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Solution

The fourth proportional to 24,545.84, 33,872.51 and 13,643.94 is: 18,828.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,545.84 : 33,872.51 = 13,643.94 : x
  2. Step 2: Convert to fraction form
    24,545.84/33,872.51 = 13,643.94/x
  3. Step 3: Cross multiply
    24,545.84x = 33,872.51 × 13,643.94
  4. Step 4: Simplify right side
    24,545.84x = 462,154,494.09
  5. Step 5: Solve for x
    x = 462,154,494.09/24,545.84
  6. Step 6: Final answer
    x = 18,828.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.