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Finding the Fourth Proportional to 22,651.56, 31,258.10 and 12,580.65

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Solution

The fourth proportional to 22,651.56, 31,258.10 and 12,580.65 is: 17,360.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,651.56 : 31,258.10 = 12,580.65 : x
  2. Step 2: Convert to fraction form
    22,651.56/31,258.10 = 12,580.65/x
  3. Step 3: Cross multiply
    22,651.56x = 31,258.10 × 12,580.65
  4. Step 4: Simplify right side
    22,651.56x = 393,247,152.86
  5. Step 5: Solve for x
    x = 393,247,152.86/22,651.56
  6. Step 6: Final answer
    x = 17,360.71

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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.