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Finding the Fourth Proportional to 16,442.53, 24,664.03 and 5,349.28

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Solution

The fourth proportional to 16,442.53, 24,664.03 and 5,349.28 is: 8,024.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,442.53 : 24,664.03 = 5,349.28 : x
  2. Step 2: Convert to fraction form
    16,442.53/24,664.03 = 5,349.28/x
  3. Step 3: Cross multiply
    16,442.53x = 24,664.03 × 5,349.28
  4. Step 4: Simplify right side
    16,442.53x = 131,934,802.40
  5. Step 5: Solve for x
    x = 131,934,802.40/16,442.53
  6. Step 6: Final answer
    x = 8,024.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.