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Finding the Fourth Proportional to 17,491.88, 24,138.09 and 9,533.94

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Solution

The fourth proportional to 17,491.88, 24,138.09 and 9,533.94 is: 13,156.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,491.88 : 24,138.09 = 9,533.94 : x
  2. Step 2: Convert to fraction form
    17,491.88/24,138.09 = 9,533.94/x
  3. Step 3: Cross multiply
    17,491.88x = 24,138.09 × 9,533.94
  4. Step 4: Simplify right side
    17,491.88x = 230,131,101.77
  5. Step 5: Solve for x
    x = 230,131,101.77/17,491.88
  6. Step 6: Final answer
    x = 13,156.46

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1.5x scale

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.