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Finding the Fourth Proportional to 22,661.30, 31,269.12 and 12,589.58

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Solution

The fourth proportional to 22,661.30, 31,269.12 and 12,589.58 is: 17,371.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,661.30 : 31,269.12 = 12,589.58 : x
  2. Step 2: Convert to fraction form
    22,661.30/31,269.12 = 12,589.58/x
  3. Step 3: Cross multiply
    22,661.30x = 31,269.12 × 12,589.58
  4. Step 4: Simplify right side
    22,661.30x = 393,665,087.77
  5. Step 5: Solve for x
    x = 393,665,087.77/22,661.30
  6. Step 6: Final answer
    x = 17,371.69

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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.