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Finding the Fourth Proportional to 17,737.62, 24,477.36 and 9,780

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Solution

The fourth proportional to 17,737.62, 24,477.36 and 9,780 is: 13,496.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,737.62 : 24,477.36 = 9,780 : x
  2. Step 2: Convert to fraction form
    17,737.62/24,477.36 = 9,780/x
  3. Step 3: Cross multiply
    17,737.62x = 24,477.36 × 9,780
  4. Step 4: Simplify right side
    17,737.62x = 239,388,580.80
  5. Step 5: Solve for x
    x = 239,388,580.80/17,737.62
  6. Step 6: Final answer
    x = 13,496.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.