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Finding the Fourth Proportional to 27,569.40, 38,046.42 and 14,994.24

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Solution

The fourth proportional to 27,569.40, 38,046.42 and 14,994.24 is: 20,692.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,569.40 : 38,046.42 = 14,994.24 : x
  2. Step 2: Convert to fraction form
    27,569.40/38,046.42 = 14,994.24/x
  3. Step 3: Cross multiply
    27,569.40x = 38,046.42 × 14,994.24
  4. Step 4: Simplify right side
    27,569.40x = 570,477,152.62
  5. Step 5: Solve for x
    x = 570,477,152.62/27,569.40
  6. Step 6: Final answer
    x = 20,692.40

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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.