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Finding the Fourth Proportional to 13,384.02, 18,469.98 and 7,415.94

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Solution

The fourth proportional to 13,384.02, 18,469.98 and 7,415.94 is: 10,234.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384.02 : 18,469.98 = 7,415.94 : x
  2. Step 2: Convert to fraction form
    13,384.02/18,469.98 = 7,415.94/x
  3. Step 3: Cross multiply
    13,384.02x = 18,469.98 × 7,415.94
  4. Step 4: Simplify right side
    13,384.02x = 136,972,263.48
  5. Step 5: Solve for x
    x = 136,972,263.48/13,384.02
  6. Step 6: Final answer
    x = 10,234.02

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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.