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Finding the Fourth Proportional to 22,395.47, 33,598.19 and 6,814.31

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Solution

The fourth proportional to 22,395.47, 33,598.19 and 6,814.31 is: 10,222.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,395.47 : 33,598.19 = 6,814.31 : x
  2. Step 2: Convert to fraction form
    22,395.47/33,598.19 = 6,814.31/x
  3. Step 3: Cross multiply
    22,395.47x = 33,598.19 × 6,814.31
  4. Step 4: Simplify right side
    22,395.47x = 228,948,331.14
  5. Step 5: Solve for x
    x = 228,948,331.14/22,395.47
  6. Step 6: Final answer
    x = 10,222.98

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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.