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Finding the Fourth Proportional to 17,704.11, 24,431.47 and 9,746.16

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Solution

The fourth proportional to 17,704.11, 24,431.47 and 9,746.16 is: 13,449.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,704.11 : 24,431.47 = 9,746.16 : x
  2. Step 2: Convert to fraction form
    17,704.11/24,431.47 = 9,746.16/x
  3. Step 3: Cross multiply
    17,704.11x = 24,431.47 × 9,746.16
  4. Step 4: Simplify right side
    17,704.11x = 238,113,015.66
  5. Step 5: Solve for x
    x = 238,113,015.66/17,704.11
  6. Step 6: Final answer
    x = 13,449.59

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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.