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Finding the Fourth Proportional to 27,569.75, 38,046.29 and 14,994.50

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Solution

The fourth proportional to 27,569.75, 38,046.29 and 14,994.50 is: 20,692.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,569.75 : 38,046.29 = 14,994.50 : x
  2. Step 2: Convert to fraction form
    27,569.75/38,046.29 = 14,994.50/x
  3. Step 3: Cross multiply
    27,569.75x = 38,046.29 × 14,994.50
  4. Step 4: Simplify right side
    27,569.75x = 570,484,830.20
  5. Step 5: Solve for x
    x = 570,484,830.20/27,569.75
  6. Step 6: Final answer
    x = 20,692.42

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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.