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Finding the Fourth Proportional to 14,382.34, 21,578.70 and 5,023.74

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Solution

The fourth proportional to 14,382.34, 21,578.70 and 5,023.74 is: 7,537.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,382.34 : 21,578.70 = 5,023.74 : x
  2. Step 2: Convert to fraction form
    14,382.34/21,578.70 = 5,023.74/x
  3. Step 3: Cross multiply
    14,382.34x = 21,578.70 × 5,023.74
  4. Step 4: Simplify right side
    14,382.34x = 108,405,778.34
  5. Step 5: Solve for x
    x = 108,405,778.34/14,382.34
  6. Step 6: Final answer
    x = 7,537.42

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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.