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Finding the Fourth Proportional to 24,016.32, 33,140.34 and 13,404

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Solution

The fourth proportional to 24,016.32, 33,140.34 and 13,404 is: 18,496.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,016.32 : 33,140.34 = 13,404 : x
  2. Step 2: Convert to fraction form
    24,016.32/33,140.34 = 13,404/x
  3. Step 3: Cross multiply
    24,016.32x = 33,140.34 × 13,404
  4. Step 4: Simplify right side
    24,016.32x = 444,213,117.36
  5. Step 5: Solve for x
    x = 444,213,117.36/24,016.32
  6. Step 6: Final answer
    x = 18,496.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.