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Finding the Fourth Proportional to 25,824, 38,911.68 and 22,994.88

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Solution

The fourth proportional to 25,824, 38,911.68 and 22,994.88 is: 34,648.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,824 : 38,911.68 = 22,994.88 : x
  2. Step 2: Convert to fraction form
    25,824/38,911.68 = 22,994.88/x
  3. Step 3: Cross multiply
    25,824x = 38,911.68 × 22,994.88
  4. Step 4: Simplify right side
    25,824x = 894,769,412.20
  5. Step 5: Solve for x
    x = 894,769,412.20/25,824
  6. Step 6: Final answer
    x = 34,648.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.