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Finding the Fourth Proportional to 12,686.97, 19,030.59 and 5,667.33

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Solution

The fourth proportional to 12,686.97, 19,030.59 and 5,667.33 is: 8,501.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,686.97 : 19,030.59 = 5,667.33 : x
  2. Step 2: Convert to fraction form
    12,686.97/19,030.59 = 5,667.33/x
  3. Step 3: Cross multiply
    12,686.97x = 19,030.59 × 5,667.33
  4. Step 4: Simplify right side
    12,686.97x = 107,852,633.62
  5. Step 5: Solve for x
    x = 107,852,633.62/12,686.97
  6. Step 6: Final answer
    x = 8,501.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.