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Finding the Fourth Proportional to 24,563.98, 33,894.21 and 13,949.74

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Solution

The fourth proportional to 24,563.98, 33,894.21 and 13,949.74 is: 19,248.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,563.98 : 33,894.21 = 13,949.74 : x
  2. Step 2: Convert to fraction form
    24,563.98/33,894.21 = 13,949.74/x
  3. Step 3: Cross multiply
    24,563.98x = 33,894.21 × 13,949.74
  4. Step 4: Simplify right side
    24,563.98x = 472,815,417.01
  5. Step 5: Solve for x
    x = 472,815,417.01/24,563.98
  6. Step 6: Final answer
    x = 19,248.32

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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.