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Finding the Fourth Proportional to 24,284, 33,509.40 and 14,211.92

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Solution

The fourth proportional to 24,284, 33,509.40 and 14,211.92 is: 19,610.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,284 : 33,509.40 = 14,211.92 : x
  2. Step 2: Convert to fraction form
    24,284/33,509.40 = 14,211.92/x
  3. Step 3: Cross multiply
    24,284x = 33,509.40 × 14,211.92
  4. Step 4: Simplify right side
    24,284x = 476,232,912.05
  5. Step 5: Solve for x
    x = 476,232,912.05/24,284
  6. Step 6: Final answer
    x = 19,610.97

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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.