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Finding the Fourth Proportional to 12,342.40, 18,533.40 and 11,432.80

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Solution

The fourth proportional to 12,342.40, 18,533.40 and 11,432.80 is: 17,167.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,342.40 : 18,533.40 = 11,432.80 : x
  2. Step 2: Convert to fraction form
    12,342.40/18,533.40 = 11,432.80/x
  3. Step 3: Cross multiply
    12,342.40x = 18,533.40 × 11,432.80
  4. Step 4: Simplify right side
    12,342.40x = 211,888,655.52
  5. Step 5: Solve for x
    x = 211,888,655.52/12,342.40
  6. Step 6: Final answer
    x = 17,167.54

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1.5x scale

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.