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Finding the Fourth Proportional to 12,403.13, 17,116.45 and 6,814.13

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Solution

The fourth proportional to 12,403.13, 17,116.45 and 6,814.13 is: 9,403.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,403.13 : 17,116.45 = 6,814.13 : x
  2. Step 2: Convert to fraction form
    12,403.13/17,116.45 = 6,814.13/x
  3. Step 3: Cross multiply
    12,403.13x = 17,116.45 × 6,814.13
  4. Step 4: Simplify right side
    12,403.13x = 116,633,612.82
  5. Step 5: Solve for x
    x = 116,633,612.82/12,403.13
  6. Step 6: Final answer
    x = 9,403.57

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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.