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Finding the Fourth Proportional to 12,323.44, 18,483.18 and 3,439

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Solution

The fourth proportional to 12,323.44, 18,483.18 and 3,439 is: 5,157.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,323.44 : 18,483.18 = 3,439 : x
  2. Step 2: Convert to fraction form
    12,323.44/18,483.18 = 3,439/x
  3. Step 3: Cross multiply
    12,323.44x = 18,483.18 × 3,439
  4. Step 4: Simplify right side
    12,323.44x = 63,563,656.02
  5. Step 5: Solve for x
    x = 63,563,656.02/12,323.44
  6. Step 6: Final answer
    x = 5,157.95

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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.