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Finding the Fourth Proportional to 16,410, 24,603 and 6,021.84

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Solution

The fourth proportional to 16,410, 24,603 and 6,021.84 is: 9,028.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,410 : 24,603 = 6,021.84 : x
  2. Step 2: Convert to fraction form
    16,410/24,603 = 6,021.84/x
  3. Step 3: Cross multiply
    16,410x = 24,603 × 6,021.84
  4. Step 4: Simplify right side
    16,410x = 148,155,329.52
  5. Step 5: Solve for x
    x = 148,155,329.52/16,410
  6. Step 6: Final answer
    x = 9,028.36

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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.