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Finding the Fourth Proportional to 22,758.78, 31,409.46 and 12,688.86

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Solution

The fourth proportional to 22,758.78, 31,409.46 and 12,688.86 is: 17,511.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,758.78 : 31,409.46 = 12,688.86 : x
  2. Step 2: Convert to fraction form
    22,758.78/31,409.46 = 12,688.86/x
  3. Step 3: Cross multiply
    22,758.78x = 31,409.46 × 12,688.86
  4. Step 4: Simplify right side
    22,758.78x = 398,550,240.62
  5. Step 5: Solve for x
    x = 398,550,240.62/22,758.78
  6. Step 6: Final answer
    x = 17,511.93

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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.