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Finding the Fourth Proportional to 22,855.44, 31,541.76 and 12,783.76

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Solution

The fourth proportional to 22,855.44, 31,541.76 and 12,783.76 is: 17,642.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,855.44 : 31,541.76 = 12,783.76 : x
  2. Step 2: Convert to fraction form
    22,855.44/31,541.76 = 12,783.76/x
  3. Step 3: Cross multiply
    22,855.44x = 31,541.76 × 12,783.76
  4. Step 4: Simplify right side
    22,855.44x = 403,222,289.82
  5. Step 5: Solve for x
    x = 403,222,289.82/22,855.44
  6. Step 6: Final answer
    x = 17,642.29

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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.