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Finding the Fourth Proportional to 17,293.31, 23,862.22 and 9,738.14

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Solution

The fourth proportional to 17,293.31, 23,862.22 and 9,738.14 is: 13,437.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,293.31 : 23,862.22 = 9,738.14 : x
  2. Step 2: Convert to fraction form
    17,293.31/23,862.22 = 9,738.14/x
  3. Step 3: Cross multiply
    17,293.31x = 23,862.22 × 9,738.14
  4. Step 4: Simplify right side
    17,293.31x = 232,373,495.41
  5. Step 5: Solve for x
    x = 232,373,495.41/17,293.31
  6. Step 6: Final answer
    x = 13,437.19

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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.