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Finding the Fourth Proportional to 17,302.71, 23,877.79 and 9,749.06

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Solution

The fourth proportional to 17,302.71, 23,877.79 and 9,749.06 is: 13,453.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,302.71 : 23,877.79 = 9,749.06 : x
  2. Step 2: Convert to fraction form
    17,302.71/23,877.79 = 9,749.06/x
  3. Step 3: Cross multiply
    17,302.71x = 23,877.79 × 9,749.06
  4. Step 4: Simplify right side
    17,302.71x = 232,785,953.16
  5. Step 5: Solve for x
    x = 232,785,953.16/17,302.71
  6. Step 6: Final answer
    x = 13,453.73

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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.