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Finding the Fourth Proportional to 13,531.95, 18,662.00 and 8,496.64

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Solution

The fourth proportional to 13,531.95, 18,662.00 and 8,496.64 is: 11,717.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,531.95 : 18,662.00 = 8,496.64 : x
  2. Step 2: Convert to fraction form
    13,531.95/18,662.00 = 8,496.64/x
  3. Step 3: Cross multiply
    13,531.95x = 18,662.00 × 8,496.64
  4. Step 4: Simplify right side
    13,531.95x = 158,564,276.52
  5. Step 5: Solve for x
    x = 158,564,276.52/13,531.95
  6. Step 6: Final answer
    x = 11,717.77

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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.