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Finding the Fourth Proportional to 13,112.61, 18,096.70 and 8,007.84

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Solution

The fourth proportional to 13,112.61, 18,096.70 and 8,007.84 is: 11,051.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,112.61 : 18,096.70 = 8,007.84 : x
  2. Step 2: Convert to fraction form
    13,112.61/18,096.70 = 8,007.84/x
  3. Step 3: Cross multiply
    13,112.61x = 18,096.70 × 8,007.84
  4. Step 4: Simplify right side
    13,112.61x = 144,915,478.13
  5. Step 5: Solve for x
    x = 144,915,478.13/13,112.61
  6. Step 6: Final answer
    x = 11,051.62

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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.