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Finding the Fourth Proportional to 24,016, 33,139.02 and 13,406.08

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Solution

The fourth proportional to 24,016, 33,139.02 and 13,406.08 is: 18,498.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,016 : 33,139.02 = 13,406.08 : x
  2. Step 2: Convert to fraction form
    24,016/33,139.02 = 13,406.08/x
  3. Step 3: Cross multiply
    24,016x = 33,139.02 × 13,406.08
  4. Step 4: Simplify right side
    24,016x = 444,264,353.24
  5. Step 5: Solve for x
    x = 444,264,353.24/24,016
  6. Step 6: Final answer
    x = 18,498.68

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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.