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Finding the Fourth Proportional to 16,294, 24,441 and 5,905.76

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Solution

The fourth proportional to 16,294, 24,441 and 5,905.76 is: 8,858.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,294 : 24,441 = 5,905.76 : x
  2. Step 2: Convert to fraction form
    16,294/24,441 = 5,905.76/x
  3. Step 3: Cross multiply
    16,294x = 24,441 × 5,905.76
  4. Step 4: Simplify right side
    16,294x = 144,342,680.16
  5. Step 5: Solve for x
    x = 144,342,680.16/16,294
  6. Step 6: Final answer
    x = 8,858.64

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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.