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Finding the Fourth Proportional to 17,705.68, 24,434 and 9,747.68

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Solution

The fourth proportional to 17,705.68, 24,434 and 9,747.68 is: 13,451.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,705.68 : 24,434 = 9,747.68 : x
  2. Step 2: Convert to fraction form
    17,705.68/24,434 = 9,747.68/x
  3. Step 3: Cross multiply
    17,705.68x = 24,434 × 9,747.68
  4. Step 4: Simplify right side
    17,705.68x = 238,174,813.12
  5. Step 5: Solve for x
    x = 238,174,813.12/17,705.68
  6. Step 6: Final answer
    x = 13,451.89

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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.