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Finding the Fourth Proportional to 13,384.73, 18,470.07 and 8,006.84

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Solution

The fourth proportional to 13,384.73, 18,470.07 and 8,006.84 is: 11,048.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384.73 : 18,470.07 = 8,006.84 : x
  2. Step 2: Convert to fraction form
    13,384.73/18,470.07 = 8,006.84/x
  3. Step 3: Cross multiply
    13,384.73x = 18,470.07 × 8,006.84
  4. Step 4: Simplify right side
    13,384.73x = 147,886,802.93
  5. Step 5: Solve for x
    x = 147,886,802.93/13,384.73
  6. Step 6: Final answer
    x = 11,048.92

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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.