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Finding the Fourth Proportional to 14,578.38, 21,832.74 and 7,539.48

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Solution

The fourth proportional to 14,578.38, 21,832.74 and 7,539.48 is: 11,291.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,578.38 : 21,832.74 = 7,539.48 : x
  2. Step 2: Convert to fraction form
    14,578.38/21,832.74 = 7,539.48/x
  3. Step 3: Cross multiply
    14,578.38x = 21,832.74 × 7,539.48
  4. Step 4: Simplify right side
    14,578.38x = 164,607,506.58
  5. Step 5: Solve for x
    x = 164,607,506.58/14,578.38
  6. Step 6: Final answer
    x = 11,291.21

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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.