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Finding the Fourth Proportional to 17,197.80, 25,823.10 and 9,421.80

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Solution

The fourth proportional to 17,197.80, 25,823.10 and 9,421.80 is: 14,147.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,197.80 : 25,823.10 = 9,421.80 : x
  2. Step 2: Convert to fraction form
    17,197.80/25,823.10 = 9,421.80/x
  3. Step 3: Cross multiply
    17,197.80x = 25,823.10 × 9,421.80
  4. Step 4: Simplify right side
    17,197.80x = 243,300,083.58
  5. Step 5: Solve for x
    x = 243,300,083.58/17,197.80
  6. Step 6: Final answer
    x = 14,147.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.