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Finding the Fourth Proportional to 17,443.70, 24,072.09 and 9,485.76

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Solution

The fourth proportional to 17,443.70, 24,072.09 and 9,485.76 is: 13,090.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,443.70 : 24,072.09 = 9,485.76 : x
  2. Step 2: Convert to fraction form
    17,443.70/24,072.09 = 9,485.76/x
  3. Step 3: Cross multiply
    17,443.70x = 24,072.09 × 9,485.76
  4. Step 4: Simplify right side
    17,443.70x = 228,341,987.73
  5. Step 5: Solve for x
    x = 228,341,987.73/17,443.70
  6. Step 6: Final answer
    x = 13,090.22

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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.