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Finding the Fourth Proportional to 16,384.65, 24,582.14 and 5,854.42

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Solution

The fourth proportional to 16,384.65, 24,582.14 and 5,854.42 is: 8,783.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.65 : 24,582.14 = 5,854.42 : x
  2. Step 2: Convert to fraction form
    16,384.65/24,582.14 = 5,854.42/x
  3. Step 3: Cross multiply
    16,384.65x = 24,582.14 × 5,854.42
  4. Step 4: Simplify right side
    16,384.65x = 143,914,195.47
  5. Step 5: Solve for x
    x = 143,914,195.47/16,384.65
  6. Step 6: Final answer
    x = 8,783.48

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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.