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Finding the Fourth Proportional to 12,108.34, 16,703.58 and 7,384.42

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Solution

The fourth proportional to 12,108.34, 16,703.58 and 7,384.42 is: 10,186.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,108.34 : 16,703.58 = 7,384.42 : x
  2. Step 2: Convert to fraction form
    12,108.34/16,703.58 = 7,384.42/x
  3. Step 3: Cross multiply
    12,108.34x = 16,703.58 × 7,384.42
  4. Step 4: Simplify right side
    12,108.34x = 123,346,250.22
  5. Step 5: Solve for x
    x = 123,346,250.22/12,108.34
  6. Step 6: Final answer
    x = 10,186.88

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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.