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Finding the Fourth Proportional to 16,265.84, 24,389.19 and 7,828.58

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Solution

The fourth proportional to 16,265.84, 24,389.19 and 7,828.58 is: 11,738.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,265.84 : 24,389.19 = 7,828.58 : x
  2. Step 2: Convert to fraction form
    16,265.84/24,389.19 = 7,828.58/x
  3. Step 3: Cross multiply
    16,265.84x = 24,389.19 × 7,828.58
  4. Step 4: Simplify right side
    16,265.84x = 190,932,786.02
  5. Step 5: Solve for x
    x = 190,932,786.02/16,265.84
  6. Step 6: Final answer
    x = 11,738.27

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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.