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Finding the Fourth Proportional to 12,479.30, 17,221.32 and 6,814.00

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Solution

The fourth proportional to 12,479.30, 17,221.32 and 6,814.00 is: 9,403.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,479.30 : 17,221.32 = 6,814.00 : x
  2. Step 2: Convert to fraction form
    12,479.30/17,221.32 = 6,814.00/x
  3. Step 3: Cross multiply
    12,479.30x = 17,221.32 × 6,814.00
  4. Step 4: Simplify right side
    12,479.30x = 117,346,031.43
  5. Step 5: Solve for x
    x = 117,346,031.43/12,479.30
  6. Step 6: Final answer
    x = 9,403.25

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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.