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Finding the Fourth Proportional to 28,018.62, 42,013.35 and 8,294.54

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Solution

The fourth proportional to 28,018.62, 42,013.35 and 8,294.54 is: 12,437.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,018.62 : 42,013.35 = 8,294.54 : x
  2. Step 2: Convert to fraction form
    28,018.62/42,013.35 = 8,294.54/x
  3. Step 3: Cross multiply
    28,018.62x = 42,013.35 × 8,294.54
  4. Step 4: Simplify right side
    28,018.62x = 348,481,202.04
  5. Step 5: Solve for x
    x = 348,481,202.04/28,018.62
  6. Step 6: Final answer
    x = 12,437.49

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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.