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Finding the Fourth Proportional to 12,479.23, 17,222.03 and 6,814.50

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Solution

The fourth proportional to 12,479.23, 17,222.03 and 6,814.50 is: 9,404.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,479.23 : 17,222.03 = 6,814.50 : x
  2. Step 2: Convert to fraction form
    12,479.23/17,222.03 = 6,814.50/x
  3. Step 3: Cross multiply
    12,479.23x = 17,222.03 × 6,814.50
  4. Step 4: Simplify right side
    12,479.23x = 117,359,572.76
  5. Step 5: Solve for x
    x = 117,359,572.76/12,479.23
  6. Step 6: Final answer
    x = 9,404.39

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Why These Related Problems?

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