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Finding the Fourth Proportional to 22,899.36, 31,601.63 and 12,827.28

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Solution

The fourth proportional to 22,899.36, 31,601.63 and 12,827.28 is: 17,701.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,899.36 : 31,601.63 = 12,827.28 : x
  2. Step 2: Convert to fraction form
    22,899.36/31,601.63 = 12,827.28/x
  3. Step 3: Cross multiply
    22,899.36x = 31,601.63 × 12,827.28
  4. Step 4: Simplify right side
    22,899.36x = 405,362,988.53
  5. Step 5: Solve for x
    x = 405,362,988.53/22,899.36
  6. Step 6: Final answer
    x = 17,701.94

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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.