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Finding the Fourth Proportional to 18,384.20, 27,569.74 and 8,521.64

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Solution

The fourth proportional to 18,384.20, 27,569.74 and 8,521.64 is: 12,779.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,384.20 : 27,569.74 = 8,521.64 : x
  2. Step 2: Convert to fraction form
    18,384.20/27,569.74 = 8,521.64/x
  3. Step 3: Cross multiply
    18,384.20x = 27,569.74 × 8,521.64
  4. Step 4: Simplify right side
    18,384.20x = 234,939,399.17
  5. Step 5: Solve for x
    x = 234,939,399.17/18,384.20
  6. Step 6: Final answer
    x = 12,779.42

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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.