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Finding the Fourth Proportional to 13,122.64, 18,104.70 and 8,409.52

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Solution

The fourth proportional to 13,122.64, 18,104.70 and 8,409.52 is: 11,602.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,122.64 : 18,104.70 = 8,409.52 : x
  2. Step 2: Convert to fraction form
    13,122.64/18,104.70 = 8,409.52/x
  3. Step 3: Cross multiply
    13,122.64x = 18,104.70 × 8,409.52
  4. Step 4: Simplify right side
    13,122.64x = 152,251,836.74
  5. Step 5: Solve for x
    x = 152,251,836.74/13,122.64
  6. Step 6: Final answer
    x = 11,602.23

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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.