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Finding the Fourth Proportional to 16,587, 24,880.50 and 4,908.42

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Solution

The fourth proportional to 16,587, 24,880.50 and 4,908.42 is: 7,362.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,587 : 24,880.50 = 4,908.42 : x
  2. Step 2: Convert to fraction form
    16,587/24,880.50 = 4,908.42/x
  3. Step 3: Cross multiply
    16,587x = 24,880.50 × 4,908.42
  4. Step 4: Simplify right side
    16,587x = 122,123,943.81
  5. Step 5: Solve for x
    x = 122,123,943.81/16,587
  6. Step 6: Final answer
    x = 7,362.63

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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.