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Finding the Fourth Proportional to 16,301.44, 24,432 and 9,287.32

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Solution

The fourth proportional to 16,301.44, 24,432 and 9,287.32 is: 13,919.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,301.44 : 24,432 = 9,287.32 : x
  2. Step 2: Convert to fraction form
    16,301.44/24,432 = 9,287.32/x
  3. Step 3: Cross multiply
    16,301.44x = 24,432 × 9,287.32
  4. Step 4: Simplify right side
    16,301.44x = 226,907,802.24
  5. Step 5: Solve for x
    x = 226,907,802.24/16,301.44
  6. Step 6: Final answer
    x = 13,919.49

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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.