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Finding the Fourth Proportional to 12,279.86, 18,419.79 and 5,349.50

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Solution

The fourth proportional to 12,279.86, 18,419.79 and 5,349.50 is: 8,024.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,279.86 : 18,419.79 = 5,349.50 : x
  2. Step 2: Convert to fraction form
    12,279.86/18,419.79 = 5,349.50/x
  3. Step 3: Cross multiply
    12,279.86x = 18,419.79 × 5,349.50
  4. Step 4: Simplify right side
    12,279.86x = 98,536,666.61
  5. Step 5: Solve for x
    x = 98,536,666.61/12,279.86
  6. Step 6: Final answer
    x = 8,024.25

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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.