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Finding the Fourth Proportional to 22,773.50, 31,427.43 and 12,837.50

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Solution

The fourth proportional to 22,773.50, 31,427.43 and 12,837.50 is: 17,715.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,773.50 : 31,427.43 = 12,837.50 : x
  2. Step 2: Convert to fraction form
    22,773.50/31,427.43 = 12,837.50/x
  3. Step 3: Cross multiply
    22,773.50x = 31,427.43 × 12,837.50
  4. Step 4: Simplify right side
    22,773.50x = 403,449,632.63
  5. Step 5: Solve for x
    x = 403,449,632.63/22,773.50
  6. Step 6: Final answer
    x = 17,715.75

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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.