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Finding the Fourth Proportional to 22,838.19, 31,530.69 and 15,679.86

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Solution

The fourth proportional to 22,838.19, 31,530.69 and 15,679.86 is: 21,647.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,838.19 : 31,530.69 = 15,679.86 : x
  2. Step 2: Convert to fraction form
    22,838.19/31,530.69 = 15,679.86/x
  3. Step 3: Cross multiply
    22,838.19x = 31,530.69 × 15,679.86
  4. Step 4: Simplify right side
    22,838.19x = 494,396,804.90
  5. Step 5: Solve for x
    x = 494,396,804.90/22,838.19
  6. Step 6: Final answer
    x = 21,647.81

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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.