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Finding the Fourth Proportional to 17,533.58, 26,300.91 and 7,667.78

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Solution

The fourth proportional to 17,533.58, 26,300.91 and 7,667.78 is: 11,501.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,533.58 : 26,300.91 = 7,667.78 : x
  2. Step 2: Convert to fraction form
    17,533.58/26,300.91 = 7,667.78/x
  3. Step 3: Cross multiply
    17,533.58x = 26,300.91 × 7,667.78
  4. Step 4: Simplify right side
    17,533.58x = 201,669,591.68
  5. Step 5: Solve for x
    x = 201,669,591.68/17,533.58
  6. Step 6: Final answer
    x = 11,501.91

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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.