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Finding the Fourth Proportional to 16,340.10, 24,497.19 and 8,564.10

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Solution

The fourth proportional to 16,340.10, 24,497.19 and 8,564.10 is: 12,839.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,340.10 : 24,497.19 = 8,564.10 : x
  2. Step 2: Convert to fraction form
    16,340.10/24,497.19 = 8,564.10/x
  3. Step 3: Cross multiply
    16,340.10x = 24,497.19 × 8,564.10
  4. Step 4: Simplify right side
    16,340.10x = 209,796,384.88
  5. Step 5: Solve for x
    x = 209,796,384.88/16,340.10
  6. Step 6: Final answer
    x = 12,839.36

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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.