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Finding the Fourth Proportional to 22,395.78, 33,598.53 and 6,813

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Solution

The fourth proportional to 22,395.78, 33,598.53 and 6,813 is: 10,220.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,395.78 : 33,598.53 = 6,813 : x
  2. Step 2: Convert to fraction form
    22,395.78/33,598.53 = 6,813/x
  3. Step 3: Cross multiply
    22,395.78x = 33,598.53 × 6,813
  4. Step 4: Simplify right side
    22,395.78x = 228,906,784.89
  5. Step 5: Solve for x
    x = 228,906,784.89/22,395.78
  6. Step 6: Final answer
    x = 10,220.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.