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Finding the Fourth Proportional to 17,673.81, 24,389.23 and 9,715.97

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Solution

The fourth proportional to 17,673.81, 24,389.23 and 9,715.97 is: 13,407.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,673.81 : 24,389.23 = 9,715.97 : x
  2. Step 2: Convert to fraction form
    17,673.81/24,389.23 = 9,715.97/x
  3. Step 3: Cross multiply
    17,673.81x = 24,389.23 × 9,715.97
  4. Step 4: Simplify right side
    17,673.81x = 236,965,027.00
  5. Step 5: Solve for x
    x = 236,965,027.00/17,673.81
  6. Step 6: Final answer
    x = 13,407.69

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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.