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Finding the Fourth Proportional to 22,951.84, 31,666.32 and 12,878.80

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Solution

The fourth proportional to 22,951.84, 31,666.32 and 12,878.80 is: 17,768.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,951.84 : 31,666.32 = 12,878.80 : x
  2. Step 2: Convert to fraction form
    22,951.84/31,666.32 = 12,878.80/x
  3. Step 3: Cross multiply
    22,951.84x = 31,666.32 × 12,878.80
  4. Step 4: Simplify right side
    22,951.84x = 407,824,202.02
  5. Step 5: Solve for x
    x = 407,824,202.02/22,951.84
  6. Step 6: Final answer
    x = 17,768.69

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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.