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Finding the Fourth Proportional to 12,199.68, 18,283.08 and 8,897.31

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Solution

The fourth proportional to 12,199.68, 18,283.08 and 8,897.31 is: 13,333.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.68 : 18,283.08 = 8,897.31 : x
  2. Step 2: Convert to fraction form
    12,199.68/18,283.08 = 8,897.31/x
  3. Step 3: Cross multiply
    12,199.68x = 18,283.08 × 8,897.31
  4. Step 4: Simplify right side
    12,199.68x = 162,670,230.51
  5. Step 5: Solve for x
    x = 162,670,230.51/12,199.68
  6. Step 6: Final answer
    x = 13,333.98

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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.