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Finding the Fourth Proportional to 16,535.84, 22,827.12 and 10,878.80

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Solution

The fourth proportional to 16,535.84, 22,827.12 and 10,878.80 is: 15,017.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,535.84 : 22,827.12 = 10,878.80 : x
  2. Step 2: Convert to fraction form
    16,535.84/22,827.12 = 10,878.80/x
  3. Step 3: Cross multiply
    16,535.84x = 22,827.12 × 10,878.80
  4. Step 4: Simplify right side
    16,535.84x = 248,331,673.06
  5. Step 5: Solve for x
    x = 248,331,673.06/16,535.84
  6. Step 6: Final answer
    x = 15,017.78

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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.