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Finding the Fourth Proportional to 17,866.38, 26,802.41 and 6,180.51

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Solution

The fourth proportional to 17,866.38, 26,802.41 and 6,180.51 is: 9,271.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,866.38 : 26,802.41 = 6,180.51 : x
  2. Step 2: Convert to fraction form
    17,866.38/26,802.41 = 6,180.51/x
  3. Step 3: Cross multiply
    17,866.38x = 26,802.41 × 6,180.51
  4. Step 4: Simplify right side
    17,866.38x = 165,652,532.13
  5. Step 5: Solve for x
    x = 165,652,532.13/17,866.38
  6. Step 6: Final answer
    x = 9,271.75

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