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Finding the Fourth Proportional to 17,710.38, 26,570.13 and 6,617.14

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Solution

The fourth proportional to 17,710.38, 26,570.13 and 6,617.14 is: 9,927.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,710.38 : 26,570.13 = 6,617.14 : x
  2. Step 2: Convert to fraction form
    17,710.38/26,570.13 = 6,617.14/x
  3. Step 3: Cross multiply
    17,710.38x = 26,570.13 × 6,617.14
  4. Step 4: Simplify right side
    17,710.38x = 175,818,270.03
  5. Step 5: Solve for x
    x = 175,818,270.03/17,710.38
  6. Step 6: Final answer
    x = 9,927.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.