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Finding the Fourth Proportional to 13,384.29, 18,470.05 and 7,415.94

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Solution

The fourth proportional to 13,384.29, 18,470.05 and 7,415.94 is: 10,233.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384.29 : 18,470.05 = 7,415.94 : x
  2. Step 2: Convert to fraction form
    13,384.29/18,470.05 = 7,415.94/x
  3. Step 3: Cross multiply
    13,384.29x = 18,470.05 × 7,415.94
  4. Step 4: Simplify right side
    13,384.29x = 136,972,764.06
  5. Step 5: Solve for x
    x = 136,972,764.06/13,384.29
  6. Step 6: Final answer
    x = 10,233.85

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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.