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Finding the Fourth Proportional to 16,119.76, 24,186.57 and 8,729.50

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Solution

The fourth proportional to 16,119.76, 24,186.57 and 8,729.50 is: 13,098.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,119.76 : 24,186.57 = 8,729.50 : x
  2. Step 2: Convert to fraction form
    16,119.76/24,186.57 = 8,729.50/x
  3. Step 3: Cross multiply
    16,119.76x = 24,186.57 × 8,729.50
  4. Step 4: Simplify right side
    16,119.76x = 211,136,662.82
  5. Step 5: Solve for x
    x = 211,136,662.82/16,119.76
  6. Step 6: Final answer
    x = 13,098.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.