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Finding the Fourth Proportional to 18,264.36, 27,398.12 and 6,417.12

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Solution

The fourth proportional to 18,264.36, 27,398.12 and 6,417.12 is: 9,626.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,264.36 : 27,398.12 = 6,417.12 : x
  2. Step 2: Convert to fraction form
    18,264.36/27,398.12 = 6,417.12/x
  3. Step 3: Cross multiply
    18,264.36x = 27,398.12 × 6,417.12
  4. Step 4: Simplify right side
    18,264.36x = 175,817,023.81
  5. Step 5: Solve for x
    x = 175,817,023.81/18,264.36
  6. Step 6: Final answer
    x = 9,626.24

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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.