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Finding the Fourth Proportional to 18,549.64, 27,827.94 and 7,457.17

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Solution

The fourth proportional to 18,549.64, 27,827.94 and 7,457.17 is: 11,187.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,549.64 : 27,827.94 = 7,457.17 : x
  2. Step 2: Convert to fraction form
    18,549.64/27,827.94 = 7,457.17/x
  3. Step 3: Cross multiply
    18,549.64x = 27,827.94 × 7,457.17
  4. Step 4: Simplify right side
    18,549.64x = 207,517,679.33
  5. Step 5: Solve for x
    x = 207,517,679.33/18,549.64
  6. Step 6: Final answer
    x = 11,187.15

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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.