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Finding the Fourth Proportional to 17,491.11, 24,138 and 9,533.31

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Solution

The fourth proportional to 17,491.11, 24,138 and 9,533.31 is: 13,156.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,491.11 : 24,138 = 9,533.31 : x
  2. Step 2: Convert to fraction form
    17,491.11/24,138 = 9,533.31/x
  3. Step 3: Cross multiply
    17,491.11x = 24,138 × 9,533.31
  4. Step 4: Simplify right side
    17,491.11x = 230,115,036.78
  5. Step 5: Solve for x
    x = 230,115,036.78/17,491.11
  6. Step 6: Final answer
    x = 13,156.11

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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.