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Finding the Fourth Proportional to 29,838.84, 41,178.57 and 16,411.08

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Solution

The fourth proportional to 29,838.84, 41,178.57 and 16,411.08 is: 22,647.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,838.84 : 41,178.57 = 16,411.08 : x
  2. Step 2: Convert to fraction form
    29,838.84/41,178.57 = 16,411.08/x
  3. Step 3: Cross multiply
    29,838.84x = 41,178.57 × 16,411.08
  4. Step 4: Simplify right side
    29,838.84x = 675,784,806.56
  5. Step 5: Solve for x
    x = 675,784,806.56/29,838.84
  6. Step 6: Final answer
    x = 22,647.82

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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.