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Finding the Fourth Proportional to 22,950.25, 31,671.05 and 12,878.89

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Solution

The fourth proportional to 22,950.25, 31,671.05 and 12,878.89 is: 17,772.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,950.25 : 31,671.05 = 12,878.89 : x
  2. Step 2: Convert to fraction form
    22,950.25/31,671.05 = 12,878.89/x
  3. Step 3: Cross multiply
    22,950.25x = 31,671.05 × 12,878.89
  4. Step 4: Simplify right side
    22,950.25x = 407,887,825.56
  5. Step 5: Solve for x
    x = 407,887,825.56/22,950.25
  6. Step 6: Final answer
    x = 17,772.70

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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.