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Finding the Fourth Proportional to 18,262.82, 27,395.45 and 6,415.16

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Solution

The fourth proportional to 18,262.82, 27,395.45 and 6,415.16 is: 9,623.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,262.82 : 27,395.45 = 6,415.16 : x
  2. Step 2: Convert to fraction form
    18,262.82/27,395.45 = 6,415.16/x
  3. Step 3: Cross multiply
    18,262.82x = 27,395.45 × 6,415.16
  4. Step 4: Simplify right side
    18,262.82x = 175,746,195.02
  5. Step 5: Solve for x
    x = 175,746,195.02/18,262.82
  6. Step 6: Final answer
    x = 9,623.17

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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.