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Finding the Fourth Proportional to 16,402.84, 22,634 and 9,327.76

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Solution

The fourth proportional to 16,402.84, 22,634 and 9,327.76 is: 12,871.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402.84 : 22,634 = 9,327.76 : x
  2. Step 2: Convert to fraction form
    16,402.84/22,634 = 9,327.76/x
  3. Step 3: Cross multiply
    16,402.84x = 22,634 × 9,327.76
  4. Step 4: Simplify right side
    16,402.84x = 211,124,519.84
  5. Step 5: Solve for x
    x = 211,124,519.84/16,402.84
  6. Step 6: Final answer
    x = 12,871.22

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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.