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Finding the Fourth Proportional to 24,553.94, 36,828.81 and 9,758.88

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Solution

The fourth proportional to 24,553.94, 36,828.81 and 9,758.88 is: 14,637.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,553.94 : 36,828.81 = 9,758.88 : x
  2. Step 2: Convert to fraction form
    24,553.94/36,828.81 = 9,758.88/x
  3. Step 3: Cross multiply
    24,553.94x = 36,828.81 × 9,758.88
  4. Step 4: Simplify right side
    24,553.94x = 359,407,937.33
  5. Step 5: Solve for x
    x = 359,407,937.33/24,553.94
  6. Step 6: Final answer
    x = 14,637.49

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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.