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Finding the Fourth Proportional to 12,491.77, 17,238.16 and 7,188.30

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Solution

The fourth proportional to 12,491.77, 17,238.16 and 7,188.30 is: 9,919.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,491.77 : 17,238.16 = 7,188.30 : x
  2. Step 2: Convert to fraction form
    12,491.77/17,238.16 = 7,188.30/x
  3. Step 3: Cross multiply
    12,491.77x = 17,238.16 × 7,188.30
  4. Step 4: Simplify right side
    12,491.77x = 123,913,065.53
  5. Step 5: Solve for x
    x = 123,913,065.53/12,491.77
  6. Step 6: Final answer
    x = 9,919.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.