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Finding the Fourth Proportional to 12,592.34, 18,866.63 and 8,836.16

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Solution

The fourth proportional to 12,592.34, 18,866.63 and 8,836.16 is: 13,238.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,592.34 : 18,866.63 = 8,836.16 : x
  2. Step 2: Convert to fraction form
    12,592.34/18,866.63 = 8,836.16/x
  3. Step 3: Cross multiply
    12,592.34x = 18,866.63 × 8,836.16
  4. Step 4: Simplify right side
    12,592.34x = 166,708,561.34
  5. Step 5: Solve for x
    x = 166,708,561.34/12,592.34
  6. Step 6: Final answer
    x = 13,238.89

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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.