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Finding the Fourth Proportional to 17,705.85, 24,433.80 and 9,748.11

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Solution

The fourth proportional to 17,705.85, 24,433.80 and 9,748.11 is: 13,452.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,705.85 : 24,433.80 = 9,748.11 : x
  2. Step 2: Convert to fraction form
    17,705.85/24,433.80 = 9,748.11/x
  3. Step 3: Cross multiply
    17,705.85x = 24,433.80 × 9,748.11
  4. Step 4: Simplify right side
    17,705.85x = 238,183,370.12
  5. Step 5: Solve for x
    x = 238,183,370.12/17,705.85
  6. Step 6: Final answer
    x = 13,452.24

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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.