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Finding the Fourth Proportional to 22,657.96, 31,269.81 and 12,589.89

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Solution

The fourth proportional to 22,657.96, 31,269.81 and 12,589.89 is: 17,375.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,657.96 : 31,269.81 = 12,589.89 : x
  2. Step 2: Convert to fraction form
    22,657.96/31,269.81 = 12,589.89/x
  3. Step 3: Cross multiply
    22,657.96x = 31,269.81 × 12,589.89
  4. Step 4: Simplify right side
    22,657.96x = 393,683,468.22
  5. Step 5: Solve for x
    x = 393,683,468.22/22,657.96
  6. Step 6: Final answer
    x = 17,375.06

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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.