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Finding the Fourth Proportional to 12,214.36, 18,320.10 and 5,460.76

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Solution

The fourth proportional to 12,214.36, 18,320.10 and 5,460.76 is: 8,190.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,214.36 : 18,320.10 = 5,460.76 : x
  2. Step 2: Convert to fraction form
    12,214.36/18,320.10 = 5,460.76/x
  3. Step 3: Cross multiply
    12,214.36x = 18,320.10 × 5,460.76
  4. Step 4: Simplify right side
    12,214.36x = 100,041,669.28
  5. Step 5: Solve for x
    x = 100,041,669.28/12,214.36
  6. Step 6: Final answer
    x = 8,190.50

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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.