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Finding the Fourth Proportional to 18,569.36, 27,864.12 and 12,314

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Solution

The fourth proportional to 18,569.36, 27,864.12 and 12,314 is: 18,477.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,569.36 : 27,864.12 = 12,314 : x
  2. Step 2: Convert to fraction form
    18,569.36/27,864.12 = 12,314/x
  3. Step 3: Cross multiply
    18,569.36x = 27,864.12 × 12,314
  4. Step 4: Simplify right side
    18,569.36x = 343,118,773.68
  5. Step 5: Solve for x
    x = 343,118,773.68/18,569.36
  6. Step 6: Final answer
    x = 18,477.68

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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.