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Finding the Fourth Proportional to 17,704.10, 24,431.82 and 9,746.50

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Solution

The fourth proportional to 17,704.10, 24,431.82 and 9,746.50 is: 13,450.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,704.10 : 24,431.82 = 9,746.50 : x
  2. Step 2: Convert to fraction form
    17,704.10/24,431.82 = 9,746.50/x
  3. Step 3: Cross multiply
    17,704.10x = 24,431.82 × 9,746.50
  4. Step 4: Simplify right side
    17,704.10x = 238,124,733.63
  5. Step 5: Solve for x
    x = 238,124,733.63/17,704.10
  6. Step 6: Final answer
    x = 13,450.26

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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.