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Finding the Fourth Proportional to 17,210, 23,749.80 and 9,758

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Solution

The fourth proportional to 17,210, 23,749.80 and 9,758 is: 13,466.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,210 : 23,749.80 = 9,758 : x
  2. Step 2: Convert to fraction form
    17,210/23,749.80 = 9,758/x
  3. Step 3: Cross multiply
    17,210x = 23,749.80 × 9,758
  4. Step 4: Simplify right side
    17,210x = 231,750,548.40
  5. Step 5: Solve for x
    x = 231,750,548.40/17,210
  6. Step 6: Final answer
    x = 13,466.04

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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.