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Finding the Fourth Proportional to 14,406, 21,617.40 and 6,085.52

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Solution

The fourth proportional to 14,406, 21,617.40 and 6,085.52 is: 9,131.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,406 : 21,617.40 = 6,085.52 : x
  2. Step 2: Convert to fraction form
    14,406/21,617.40 = 6,085.52/x
  3. Step 3: Cross multiply
    14,406x = 21,617.40 × 6,085.52
  4. Step 4: Simplify right side
    14,406x = 131,553,120.05
  5. Step 5: Solve for x
    x = 131,553,120.05/14,406
  6. Step 6: Final answer
    x = 9,131.83

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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.