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Finding the Fourth Proportional to 16,240.16, 24,357 and 4,553.48

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Solution

The fourth proportional to 16,240.16, 24,357 and 4,553.48 is: 6,829.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,240.16 : 24,357 = 4,553.48 : x
  2. Step 2: Convert to fraction form
    16,240.16/24,357 = 4,553.48/x
  3. Step 3: Cross multiply
    16,240.16x = 24,357 × 4,553.48
  4. Step 4: Simplify right side
    16,240.16x = 110,909,112.36
  5. Step 5: Solve for x
    x = 110,909,112.36/16,240.16
  6. Step 6: Final answer
    x = 6,829.31

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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.