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Finding the Fourth Proportional to 11,594.98, 17,365.42 and 8,467.24

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Solution

The fourth proportional to 11,594.98, 17,365.42 and 8,467.24 is: 12,681.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594.98 : 17,365.42 = 8,467.24 : x
  2. Step 2: Convert to fraction form
    11,594.98/17,365.42 = 8,467.24/x
  3. Step 3: Cross multiply
    11,594.98x = 17,365.42 × 8,467.24
  4. Step 4: Simplify right side
    11,594.98x = 147,037,178.84
  5. Step 5: Solve for x
    x = 147,037,178.84/11,594.98
  6. Step 6: Final answer
    x = 12,681.11

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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.