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Finding the Fourth Proportional to 13,384.29, 18,478.80 and 8,606.46

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Solution

The fourth proportional to 13,384.29, 18,478.80 and 8,606.46 is: 11,882.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384.29 : 18,478.80 = 8,606.46 : x
  2. Step 2: Convert to fraction form
    13,384.29/18,478.80 = 8,606.46/x
  3. Step 3: Cross multiply
    13,384.29x = 18,478.80 × 8,606.46
  4. Step 4: Simplify right side
    13,384.29x = 159,037,053.05
  5. Step 5: Solve for x
    x = 159,037,053.05/13,384.29
  6. Step 6: Final answer
    x = 11,882.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.