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Finding the Fourth Proportional to 27,569.50, 38,046.09 and 14,994.34

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Solution

The fourth proportional to 27,569.50, 38,046.09 and 14,994.34 is: 20,692.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,569.50 : 38,046.09 = 14,994.34 : x
  2. Step 2: Convert to fraction form
    27,569.50/38,046.09 = 14,994.34/x
  3. Step 3: Cross multiply
    27,569.50x = 38,046.09 × 14,994.34
  4. Step 4: Simplify right side
    27,569.50x = 570,476,009.13
  5. Step 5: Solve for x
    x = 570,476,009.13/27,569.50
  6. Step 6: Final answer
    x = 20,692.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.