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Finding the Fourth Proportional to 19,667, 27,140.50 and 10,835

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Solution

The fourth proportional to 19,667, 27,140.50 and 10,835 is: 14,952.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,667 : 27,140.50 = 10,835 : x
  2. Step 2: Convert to fraction form
    19,667/27,140.50 = 10,835/x
  3. Step 3: Cross multiply
    19,667x = 27,140.50 × 10,835
  4. Step 4: Simplify right side
    19,667x = 294,067,317.50
  5. Step 5: Solve for x
    x = 294,067,317.50/19,667
  6. Step 6: Final answer
    x = 14,952.32

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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.