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Finding the Fourth Proportional to 17,705.64, 24,433.99 and 9,748.40

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Solution

The fourth proportional to 17,705.64, 24,433.99 and 9,748.40 is: 13,452.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,705.64 : 24,433.99 = 9,748.40 : x
  2. Step 2: Convert to fraction form
    17,705.64/24,433.99 = 9,748.40/x
  3. Step 3: Cross multiply
    17,705.64x = 24,433.99 × 9,748.40
  4. Step 4: Simplify right side
    17,705.64x = 238,192,308.12
  5. Step 5: Solve for x
    x = 238,192,308.12/17,705.64
  6. Step 6: Final answer
    x = 13,452.91

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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.