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Finding the Fourth Proportional to 22,951.83, 31,673.40 and 12,880.26

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Solution

The fourth proportional to 22,951.83, 31,673.40 and 12,880.26 is: 17,774.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,951.83 : 31,673.40 = 12,880.26 : x
  2. Step 2: Convert to fraction form
    22,951.83/31,673.40 = 12,880.26/x
  3. Step 3: Cross multiply
    22,951.83x = 31,673.40 × 12,880.26
  4. Step 4: Simplify right side
    22,951.83x = 407,961,627.08
  5. Step 5: Solve for x
    x = 407,961,627.08/22,951.83
  6. Step 6: Final answer
    x = 17,774.69

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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.