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Finding the Fourth Proportional to 17,267.61, 23,829.07 and 9,713.94

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Solution

The fourth proportional to 17,267.61, 23,829.07 and 9,713.94 is: 13,405.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,267.61 : 23,829.07 = 9,713.94 : x
  2. Step 2: Convert to fraction form
    17,267.61/23,829.07 = 9,713.94/x
  3. Step 3: Cross multiply
    17,267.61x = 23,829.07 × 9,713.94
  4. Step 4: Simplify right side
    17,267.61x = 231,474,194.84
  5. Step 5: Solve for x
    x = 231,474,194.84/17,267.61
  6. Step 6: Final answer
    x = 13,405.11

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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.