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Finding the Fourth Proportional to 13,184.78, 18,199.24 and 8,712.50

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Solution

The fourth proportional to 13,184.78, 18,199.24 and 8,712.50 is: 12,026.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,184.78 : 18,199.24 = 8,712.50 : x
  2. Step 2: Convert to fraction form
    13,184.78/18,199.24 = 8,712.50/x
  3. Step 3: Cross multiply
    13,184.78x = 18,199.24 × 8,712.50
  4. Step 4: Simplify right side
    13,184.78x = 158,560,878.50
  5. Step 5: Solve for x
    x = 158,560,878.50/13,184.78
  6. Step 6: Final answer
    x = 12,026.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.