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Finding the Fourth Proportional to 27,570, 38,046.93 and 14,994.75

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Solution

The fourth proportional to 27,570, 38,046.93 and 14,994.75 is: 20,692.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,570 : 38,046.93 = 14,994.75 : x
  2. Step 2: Convert to fraction form
    27,570/38,046.93 = 14,994.75/x
  3. Step 3: Cross multiply
    27,570x = 38,046.93 × 14,994.75
  4. Step 4: Simplify right side
    27,570x = 570,504,203.62
  5. Step 5: Solve for x
    x = 570,504,203.62/27,570
  6. Step 6: Final answer
    x = 20,692.93

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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.