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Finding the Fourth Proportional to 16,297, 24,445.50 and 5,908.76

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Solution

The fourth proportional to 16,297, 24,445.50 and 5,908.76 is: 8,863.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297 : 24,445.50 = 5,908.76 : x
  2. Step 2: Convert to fraction form
    16,297/24,445.50 = 5,908.76/x
  3. Step 3: Cross multiply
    16,297x = 24,445.50 × 5,908.76
  4. Step 4: Simplify right side
    16,297x = 144,442,592.58
  5. Step 5: Solve for x
    x = 144,442,592.58/16,297
  6. Step 6: Final answer
    x = 8,863.14

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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.