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Finding the Fourth Proportional to 13,711.32, 18,922.95 and 8,409.60

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Solution

The fourth proportional to 13,711.32, 18,922.95 and 8,409.60 is: 11,606.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,711.32 : 18,922.95 = 8,409.60 : x
  2. Step 2: Convert to fraction form
    13,711.32/18,922.95 = 8,409.60/x
  3. Step 3: Cross multiply
    13,711.32x = 18,922.95 × 8,409.60
  4. Step 4: Simplify right side
    13,711.32x = 159,134,440.32
  5. Step 5: Solve for x
    x = 159,134,440.32/13,711.32
  6. Step 6: Final answer
    x = 11,606.06

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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.