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Finding the Fourth Proportional to 15,588.30, 23,394.87 and 8,197.08

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Solution

The fourth proportional to 15,588.30, 23,394.87 and 8,197.08 is: 12,302.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,588.30 : 23,394.87 = 8,197.08 : x
  2. Step 2: Convert to fraction form
    15,588.30/23,394.87 = 8,197.08/x
  3. Step 3: Cross multiply
    15,588.30x = 23,394.87 × 8,197.08
  4. Step 4: Simplify right side
    15,588.30x = 191,769,620.98
  5. Step 5: Solve for x
    x = 191,769,620.98/15,588.30
  6. Step 6: Final answer
    x = 12,302.15

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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.