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Finding the Fourth Proportional to 12,551.69, 17,320.75 and 6,886.31

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Solution

The fourth proportional to 12,551.69, 17,320.75 and 6,886.31 is: 9,502.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,551.69 : 17,320.75 = 6,886.31 : x
  2. Step 2: Convert to fraction form
    12,551.69/17,320.75 = 6,886.31/x
  3. Step 3: Cross multiply
    12,551.69x = 17,320.75 × 6,886.31
  4. Step 4: Simplify right side
    12,551.69x = 119,276,053.93
  5. Step 5: Solve for x
    x = 119,276,053.93/12,551.69
  6. Step 6: Final answer
    x = 9,502.79

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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.