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Finding the Fourth Proportional to 12,285.14, 18,425.81 and 4,492.13

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Solution

The fourth proportional to 12,285.14, 18,425.81 and 4,492.13 is: 6,737.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,285.14 : 18,425.81 = 4,492.13 : x
  2. Step 2: Convert to fraction form
    12,285.14/18,425.81 = 4,492.13/x
  3. Step 3: Cross multiply
    12,285.14x = 18,425.81 × 4,492.13
  4. Step 4: Simplify right side
    12,285.14x = 82,771,052.98
  5. Step 5: Solve for x
    x = 82,771,052.98/12,285.14
  6. Step 6: Final answer
    x = 6,737.50

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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.