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Finding the Fourth Proportional to 16,494.72, 22,772.64 and 10,838.40

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Solution

The fourth proportional to 16,494.72, 22,772.64 and 10,838.40 is: 14,963.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,494.72 : 22,772.64 = 10,838.40 : x
  2. Step 2: Convert to fraction form
    16,494.72/22,772.64 = 10,838.40/x
  3. Step 3: Cross multiply
    16,494.72x = 22,772.64 × 10,838.40
  4. Step 4: Simplify right side
    16,494.72x = 246,818,981.38
  5. Step 5: Solve for x
    x = 246,818,981.38/16,494.72
  6. Step 6: Final answer
    x = 14,963.51

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Why These Related Problems?

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