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Finding the Fourth Proportional to 18,772.32, 25,908.72 and 10,706

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Solution

The fourth proportional to 18,772.32, 25,908.72 and 10,706 is: 14,775.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,772.32 : 25,908.72 = 10,706 : x
  2. Step 2: Convert to fraction form
    18,772.32/25,908.72 = 10,706/x
  3. Step 3: Cross multiply
    18,772.32x = 25,908.72 × 10,706
  4. Step 4: Simplify right side
    18,772.32x = 277,378,756.32
  5. Step 5: Solve for x
    x = 277,378,756.32/18,772.32
  6. Step 6: Final answer
    x = 14,775.94

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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.