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Finding the Fourth Proportional to 16,441.68, 22,692 and 10,476

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Solution

The fourth proportional to 16,441.68, 22,692 and 10,476 is: 14,458.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,441.68 : 22,692 = 10,476 : x
  2. Step 2: Convert to fraction form
    16,441.68/22,692 = 10,476/x
  3. Step 3: Cross multiply
    16,441.68x = 22,692 × 10,476
  4. Step 4: Simplify right side
    16,441.68x = 237,721,392
  5. Step 5: Solve for x
    x = 237,721,392/16,441.68
  6. Step 6: Final answer
    x = 14,458.46

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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.