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Finding the Fourth Proportional to 16,262.46, 24,393.68 and 4,575.67

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Solution

The fourth proportional to 16,262.46, 24,393.68 and 4,575.67 is: 6,863.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,262.46 : 24,393.68 = 4,575.67 : x
  2. Step 2: Convert to fraction form
    16,262.46/24,393.68 = 4,575.67/x
  3. Step 3: Cross multiply
    16,262.46x = 24,393.68 × 4,575.67
  4. Step 4: Simplify right side
    16,262.46x = 111,617,429.77
  5. Step 5: Solve for x
    x = 111,617,429.77/16,262.46
  6. Step 6: Final answer
    x = 6,863.50

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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.