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Finding the Fourth Proportional to 18,596.16, 27,897.36 and 9,236.64

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Solution

The fourth proportional to 18,596.16, 27,897.36 and 9,236.64 is: 13,856.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,596.16 : 27,897.36 = 9,236.64 : x
  2. Step 2: Convert to fraction form
    18,596.16/27,897.36 = 9,236.64/x
  3. Step 3: Cross multiply
    18,596.16x = 27,897.36 × 9,236.64
  4. Step 4: Simplify right side
    18,596.16x = 257,677,871.27
  5. Step 5: Solve for x
    x = 257,677,871.27/18,596.16
  6. Step 6: Final answer
    x = 13,856.51

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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.