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Finding the Fourth Proportional to 16,262, 24,393.02 and 4,575.23

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Solution

The fourth proportional to 16,262, 24,393.02 and 4,575.23 is: 6,862.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,262 : 24,393.02 = 4,575.23 : x
  2. Step 2: Convert to fraction form
    16,262/24,393.02 = 4,575.23/x
  3. Step 3: Cross multiply
    16,262x = 24,393.02 × 4,575.23
  4. Step 4: Simplify right side
    16,262x = 111,603,676.89
  5. Step 5: Solve for x
    x = 111,603,676.89/16,262
  6. Step 6: Final answer
    x = 6,862.85

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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.