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Finding the Fourth Proportional to 17,491.60, 24,136.32 and 9,935.20

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Solution

The fourth proportional to 17,491.60, 24,136.32 and 9,935.20 is: 13,709.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,491.60 : 24,136.32 = 9,935.20 : x
  2. Step 2: Convert to fraction form
    17,491.60/24,136.32 = 9,935.20/x
  3. Step 3: Cross multiply
    17,491.60x = 24,136.32 × 9,935.20
  4. Step 4: Simplify right side
    17,491.60x = 239,799,166.46
  5. Step 5: Solve for x
    x = 239,799,166.46/17,491.60
  6. Step 6: Final answer
    x = 13,709.39

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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.