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Finding the Fourth Proportional to 17,211.65, 23,753.12 and 9,658.60

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Solution

The fourth proportional to 17,211.65, 23,753.12 and 9,658.60 is: 13,329.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,211.65 : 23,753.12 = 9,658.60 : x
  2. Step 2: Convert to fraction form
    17,211.65/23,753.12 = 9,658.60/x
  3. Step 3: Cross multiply
    17,211.65x = 23,753.12 × 9,658.60
  4. Step 4: Simplify right side
    17,211.65x = 229,421,777.16
  5. Step 5: Solve for x
    x = 229,421,777.16/17,211.65
  6. Step 6: Final answer
    x = 13,329.45

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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.