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Finding the Fourth Proportional to 22,278, 30,743.64 and 13,325.88

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Solution

The fourth proportional to 22,278, 30,743.64 and 13,325.88 is: 18,389.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,278 : 30,743.64 = 13,325.88 : x
  2. Step 2: Convert to fraction form
    22,278/30,743.64 = 13,325.88/x
  3. Step 3: Cross multiply
    22,278x = 30,743.64 × 13,325.88
  4. Step 4: Simplify right side
    22,278x = 409,686,057.40
  5. Step 5: Solve for x
    x = 409,686,057.40/22,278
  6. Step 6: Final answer
    x = 18,389.71

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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.