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Finding the Fourth Proportional to 13,006.67, 19,520.95 and 12,186.55

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Solution

The fourth proportional to 13,006.67, 19,520.95 and 12,186.55 is: 18,290.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.67 : 19,520.95 = 12,186.55 : x
  2. Step 2: Convert to fraction form
    13,006.67/19,520.95 = 12,186.55/x
  3. Step 3: Cross multiply
    13,006.67x = 19,520.95 × 12,186.55
  4. Step 4: Simplify right side
    13,006.67x = 237,892,953.95
  5. Step 5: Solve for x
    x = 237,892,953.95/13,006.67
  6. Step 6: Final answer
    x = 18,290.07

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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.