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Finding the Fourth Proportional to 16,486.25, 22,724.42 and 12,894.84

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Solution

The fourth proportional to 16,486.25, 22,724.42 and 12,894.84 is: 17,774.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,486.25 : 22,724.42 = 12,894.84 : x
  2. Step 2: Convert to fraction form
    16,486.25/22,724.42 = 12,894.84/x
  3. Step 3: Cross multiply
    16,486.25x = 22,724.42 × 12,894.84
  4. Step 4: Simplify right side
    16,486.25x = 293,027,695.52
  5. Step 5: Solve for x
    x = 293,027,695.52/16,486.25
  6. Step 6: Final answer
    x = 17,774.07

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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.