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Finding the Fourth Proportional to 17,302.68, 23,877.86 and 9,749.03

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Solution

The fourth proportional to 17,302.68, 23,877.86 and 9,749.03 is: 13,453.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,302.68 : 23,877.86 = 9,749.03 : x
  2. Step 2: Convert to fraction form
    17,302.68/23,877.86 = 9,749.03/x
  3. Step 3: Cross multiply
    17,302.68x = 23,877.86 × 9,749.03
  4. Step 4: Simplify right side
    17,302.68x = 232,785,805.34
  5. Step 5: Solve for x
    x = 232,785,805.34/17,302.68
  6. Step 6: Final answer
    x = 13,453.74

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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.