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Finding the Fourth Proportional to 18,266.42, 27,389.76 and 6,417.14

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Solution

The fourth proportional to 18,266.42, 27,389.76 and 6,417.14 is: 9,622.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,266.42 : 27,389.76 = 6,417.14 : x
  2. Step 2: Convert to fraction form
    18,266.42/27,389.76 = 6,417.14/x
  3. Step 3: Cross multiply
    18,266.42x = 27,389.76 × 6,417.14
  4. Step 4: Simplify right side
    18,266.42x = 175,763,924.49
  5. Step 5: Solve for x
    x = 175,763,924.49/18,266.42
  6. Step 6: Final answer
    x = 9,622.24

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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.