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Finding the Fourth Proportional to 18,355.68, 27,498.02 and 10,966.05

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Solution

The fourth proportional to 18,355.68, 27,498.02 and 10,966.05 is: 16,427.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,355.68 : 27,498.02 = 10,966.05 : x
  2. Step 2: Convert to fraction form
    18,355.68/27,498.02 = 10,966.05/x
  3. Step 3: Cross multiply
    18,355.68x = 27,498.02 × 10,966.05
  4. Step 4: Simplify right side
    18,355.68x = 301,544,607.39
  5. Step 5: Solve for x
    x = 301,544,607.39/18,355.68
  6. Step 6: Final answer
    x = 16,427.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.