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Finding the Fourth Proportional to 17,704.16, 24,431.74 and 9,746.38

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Solution

The fourth proportional to 17,704.16, 24,431.74 and 9,746.38 is: 13,450.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,704.16 : 24,431.74 = 9,746.38 : x
  2. Step 2: Convert to fraction form
    17,704.16/24,431.74 = 9,746.38/x
  3. Step 3: Cross multiply
    17,704.16x = 24,431.74 × 9,746.38
  4. Step 4: Simplify right side
    17,704.16x = 238,120,936.66
  5. Step 5: Solve for x
    x = 238,120,936.66/17,704.16
  6. Step 6: Final answer
    x = 13,450.00

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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.