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Finding the Fourth Proportional to 16,076.78, 24,017.37 and 10,408.27

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Solution

The fourth proportional to 16,076.78, 24,017.37 and 10,408.27 is: 15,549.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,076.78 : 24,017.37 = 10,408.27 : x
  2. Step 2: Convert to fraction form
    16,076.78/24,017.37 = 10,408.27/x
  3. Step 3: Cross multiply
    16,076.78x = 24,017.37 × 10,408.27
  4. Step 4: Simplify right side
    16,076.78x = 249,979,271.65
  5. Step 5: Solve for x
    x = 249,979,271.65/16,076.78
  6. Step 6: Final answer
    x = 15,549.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.