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Finding the Fourth Proportional to 16,236.24, 24,358 and 5,142.07

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Solution

The fourth proportional to 16,236.24, 24,358 and 5,142.07 is: 7,714.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,236.24 : 24,358 = 5,142.07 : x
  2. Step 2: Convert to fraction form
    16,236.24/24,358 = 5,142.07/x
  3. Step 3: Cross multiply
    16,236.24x = 24,358 × 5,142.07
  4. Step 4: Simplify right side
    16,236.24x = 125,250,541.06
  5. Step 5: Solve for x
    x = 125,250,541.06/16,236.24
  6. Step 6: Final answer
    x = 7,714.26

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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.