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Finding the Fourth Proportional to 13,355.34, 20,033.09 and 9,182.77

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Solution

The fourth proportional to 13,355.34, 20,033.09 and 9,182.77 is: 13,774.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,355.34 : 20,033.09 = 9,182.77 : x
  2. Step 2: Convert to fraction form
    13,355.34/20,033.09 = 9,182.77/x
  3. Step 3: Cross multiply
    13,355.34x = 20,033.09 × 9,182.77
  4. Step 4: Simplify right side
    13,355.34x = 183,959,257.86
  5. Step 5: Solve for x
    x = 183,959,257.86/13,355.34
  6. Step 6: Final answer
    x = 13,774.21

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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.