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Finding the Fourth Proportional to 22,769.84, 34,110.84 and 12,878.84

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Solution

The fourth proportional to 22,769.84, 34,110.84 and 12,878.84 is: 19,293.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,769.84 : 34,110.84 = 12,878.84 : x
  2. Step 2: Convert to fraction form
    22,769.84/34,110.84 = 12,878.84/x
  3. Step 3: Cross multiply
    22,769.84x = 34,110.84 × 12,878.84
  4. Step 4: Simplify right side
    22,769.84x = 439,308,050.63
  5. Step 5: Solve for x
    x = 439,308,050.63/22,769.84
  6. Step 6: Final answer
    x = 19,293.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.