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Finding the Fourth Proportional to 23,567.49, 32,524.74 and 13,496.22

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Solution

The fourth proportional to 23,567.49, 32,524.74 and 13,496.22 is: 18,625.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,567.49 : 32,524.74 = 13,496.22 : x
  2. Step 2: Convert to fraction form
    23,567.49/32,524.74 = 13,496.22/x
  3. Step 3: Cross multiply
    23,567.49x = 32,524.74 × 13,496.22
  4. Step 4: Simplify right side
    23,567.49x = 438,961,046.48
  5. Step 5: Solve for x
    x = 438,961,046.48/23,567.49
  6. Step 6: Final answer
    x = 18,625.70

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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.