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Finding the Fourth Proportional to 16,585.36, 24,888.92 and 7,822.80

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Solution

The fourth proportional to 16,585.36, 24,888.92 and 7,822.80 is: 11,739.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,585.36 : 24,888.92 = 7,822.80 : x
  2. Step 2: Convert to fraction form
    16,585.36/24,888.92 = 7,822.80/x
  3. Step 3: Cross multiply
    16,585.36x = 24,888.92 × 7,822.80
  4. Step 4: Simplify right side
    16,585.36x = 194,701,043.38
  5. Step 5: Solve for x
    x = 194,701,043.38/16,585.36
  6. Step 6: Final answer
    x = 11,739.33

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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.