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Finding the Fourth Proportional to 12,415.50, 18,626.76 and 5,018.34

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Solution

The fourth proportional to 12,415.50, 18,626.76 and 5,018.34 is: 7,528.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.50 : 18,626.76 = 5,018.34 : x
  2. Step 2: Convert to fraction form
    12,415.50/18,626.76 = 5,018.34/x
  3. Step 3: Cross multiply
    12,415.50x = 18,626.76 × 5,018.34
  4. Step 4: Simplify right side
    12,415.50x = 93,475,414.78
  5. Step 5: Solve for x
    x = 93,475,414.78/12,415.50
  6. Step 6: Final answer
    x = 7,528.93

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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.