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Finding the Fourth Proportional to 12,192.70, 18,289.05 and 8,256.10

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Solution

The fourth proportional to 12,192.70, 18,289.05 and 8,256.10 is: 12,384.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,192.70 : 18,289.05 = 8,256.10 : x
  2. Step 2: Convert to fraction form
    12,192.70/18,289.05 = 8,256.10/x
  3. Step 3: Cross multiply
    12,192.70x = 18,289.05 × 8,256.10
  4. Step 4: Simplify right side
    12,192.70x = 150,996,225.71
  5. Step 5: Solve for x
    x = 150,996,225.71/12,192.70
  6. Step 6: Final answer
    x = 12,384.15

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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.