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Finding the Fourth Proportional to 18,264.56, 27,398.40 and 6,417.30

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Solution

The fourth proportional to 18,264.56, 27,398.40 and 6,417.30 is: 9,626.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,264.56 : 27,398.40 = 6,417.30 : x
  2. Step 2: Convert to fraction form
    18,264.56/27,398.40 = 6,417.30/x
  3. Step 3: Cross multiply
    18,264.56x = 27,398.40 × 6,417.30
  4. Step 4: Simplify right side
    18,264.56x = 175,823,752.32
  5. Step 5: Solve for x
    x = 175,823,752.32/18,264.56
  6. Step 6: Final answer
    x = 9,626.50

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Why These Related Problems?

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