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Finding the Fourth Proportional to 12,386.86, 17,093.82 and 6,721.63

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Solution

The fourth proportional to 12,386.86, 17,093.82 and 6,721.63 is: 9,275.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,386.86 : 17,093.82 = 6,721.63 : x
  2. Step 2: Convert to fraction form
    12,386.86/17,093.82 = 6,721.63/x
  3. Step 3: Cross multiply
    12,386.86x = 17,093.82 × 6,721.63
  4. Step 4: Simplify right side
    12,386.86x = 114,898,333.33
  5. Step 5: Solve for x
    x = 114,898,333.33/12,386.86
  6. Step 6: Final answer
    x = 9,275.82

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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.