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Finding the Fourth Proportional to 22,951.10, 31,671.60 and 12,881.72

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Solution

The fourth proportional to 22,951.10, 31,671.60 and 12,881.72 is: 17,776.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,951.10 : 31,671.60 = 12,881.72 : x
  2. Step 2: Convert to fraction form
    22,951.10/31,671.60 = 12,881.72/x
  3. Step 3: Cross multiply
    22,951.10x = 31,671.60 × 12,881.72
  4. Step 4: Simplify right side
    22,951.10x = 407,984,683.15
  5. Step 5: Solve for x
    x = 407,984,683.15/22,951.10
  6. Step 6: Final answer
    x = 17,776.26

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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.