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Finding the Fourth Proportional to 11,667.68, 17,497.93 and 3,345.46

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Solution

The fourth proportional to 11,667.68, 17,497.93 and 3,345.46 is: 5,017.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,667.68 : 17,497.93 = 3,345.46 : x
  2. Step 2: Convert to fraction form
    11,667.68/17,497.93 = 3,345.46/x
  3. Step 3: Cross multiply
    11,667.68x = 17,497.93 × 3,345.46
  4. Step 4: Simplify right side
    11,667.68x = 58,538,624.90
  5. Step 5: Solve for x
    x = 58,538,624.90/11,667.68
  6. Step 6: Final answer
    x = 5,017.16

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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.