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Finding the Fourth Proportional to 17,187, 23,718.06 and 9,735

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Solution

The fourth proportional to 17,187, 23,718.06 and 9,735 is: 13,434.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,187 : 23,718.06 = 9,735 : x
  2. Step 2: Convert to fraction form
    17,187/23,718.06 = 9,735/x
  3. Step 3: Cross multiply
    17,187x = 23,718.06 × 9,735
  4. Step 4: Simplify right side
    17,187x = 230,895,314.10
  5. Step 5: Solve for x
    x = 230,895,314.10/17,187
  6. Step 6: Final answer
    x = 13,434.30

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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.