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Finding the Fourth Proportional to 13,400.19, 20,085.66 and 9,006.75

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Solution

The fourth proportional to 13,400.19, 20,085.66 and 9,006.75 is: 13,500.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,400.19 : 20,085.66 = 9,006.75 : x
  2. Step 2: Convert to fraction form
    13,400.19/20,085.66 = 9,006.75/x
  3. Step 3: Cross multiply
    13,400.19x = 20,085.66 × 9,006.75
  4. Step 4: Simplify right side
    13,400.19x = 180,906,518.21
  5. Step 5: Solve for x
    x = 180,906,518.21/13,400.19
  6. Step 6: Final answer
    x = 13,500.30

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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.