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Finding the Fourth Proportional to 13,071.30, 18,039.93 and 7,766.13

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Solution

The fourth proportional to 13,071.30, 18,039.93 and 7,766.13 is: 10,718.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,071.30 : 18,039.93 = 7,766.13 : x
  2. Step 2: Convert to fraction form
    13,071.30/18,039.93 = 7,766.13/x
  3. Step 3: Cross multiply
    13,071.30x = 18,039.93 × 7,766.13
  4. Step 4: Simplify right side
    13,071.30x = 140,100,441.57
  5. Step 5: Solve for x
    x = 140,100,441.57/13,071.30
  6. Step 6: Final answer
    x = 10,718.17

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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.