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Finding the Fourth Proportional to 13,505, 20,159.78 and 11,667.92

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Solution

The fourth proportional to 13,505, 20,159.78 and 11,667.92 is: 17,417.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,505 : 20,159.78 = 11,667.92 : x
  2. Step 2: Convert to fraction form
    13,505/20,159.78 = 11,667.92/x
  3. Step 3: Cross multiply
    13,505x = 20,159.78 × 11,667.92
  4. Step 4: Simplify right side
    13,505x = 235,222,700.26
  5. Step 5: Solve for x
    x = 235,222,700.26/13,505
  6. Step 6: Final answer
    x = 17,417.45

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.