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Finding the Fourth Proportional to 12,102.84, 18,116.82 and 10,331.64

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Solution

The fourth proportional to 12,102.84, 18,116.82 and 10,331.64 is: 15,465.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.84 : 18,116.82 = 10,331.64 : x
  2. Step 2: Convert to fraction form
    12,102.84/18,116.82 = 10,331.64/x
  3. Step 3: Cross multiply
    12,102.84x = 18,116.82 × 10,331.64
  4. Step 4: Simplify right side
    12,102.84x = 187,176,462.18
  5. Step 5: Solve for x
    x = 187,176,462.18/12,102.84
  6. Step 6: Final answer
    x = 15,465.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.