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Finding the Fourth Proportional to 22,822.89, 31,492.46 and 12,750.08

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Solution

The fourth proportional to 22,822.89, 31,492.46 and 12,750.08 is: 17,593.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,822.89 : 31,492.46 = 12,750.08 : x
  2. Step 2: Convert to fraction form
    22,822.89/31,492.46 = 12,750.08/x
  3. Step 3: Cross multiply
    22,822.89x = 31,492.46 × 12,750.08
  4. Step 4: Simplify right side
    22,822.89x = 401,531,495.00
  5. Step 5: Solve for x
    x = 401,531,495.00/22,822.89
  6. Step 6: Final answer
    x = 17,593.36

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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.