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Finding the Fourth Proportional to 22,594.89, 31,173.82 and 13,033.50

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Solution

The fourth proportional to 22,594.89, 31,173.82 and 13,033.50 is: 17,982.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,594.89 : 31,173.82 = 13,033.50 : x
  2. Step 2: Convert to fraction form
    22,594.89/31,173.82 = 13,033.50/x
  3. Step 3: Cross multiply
    22,594.89x = 31,173.82 × 13,033.50
  4. Step 4: Simplify right side
    22,594.89x = 406,303,833.48
  5. Step 5: Solve for x
    x = 406,303,833.48/22,594.89
  6. Step 6: Final answer
    x = 17,982.11

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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.