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Finding the Fourth Proportional to 25,584.29, 38,392.77 and 12,429.49

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Solution

The fourth proportional to 25,584.29, 38,392.77 and 12,429.49 is: 18,652.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,584.29 : 38,392.77 = 12,429.49 : x
  2. Step 2: Convert to fraction form
    25,584.29/38,392.77 = 12,429.49/x
  3. Step 3: Cross multiply
    25,584.29x = 38,392.77 × 12,429.49
  4. Step 4: Simplify right side
    25,584.29x = 477,202,550.79
  5. Step 5: Solve for x
    x = 477,202,550.79/25,584.29
  6. Step 6: Final answer
    x = 18,652.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.