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Finding the Fourth Proportional to 24,477.50, 33,778.95 and 14,541.50

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Solution

The fourth proportional to 24,477.50, 33,778.95 and 14,541.50 is: 20,067.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,477.50 : 33,778.95 = 14,541.50 : x
  2. Step 2: Convert to fraction form
    24,477.50/33,778.95 = 14,541.50/x
  3. Step 3: Cross multiply
    24,477.50x = 33,778.95 × 14,541.50
  4. Step 4: Simplify right side
    24,477.50x = 491,196,601.43
  5. Step 5: Solve for x
    x = 491,196,601.43/24,477.50
  6. Step 6: Final answer
    x = 20,067.27

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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.