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Finding the Fourth Proportional to 13,099.47, 18,077.86 and 7,722.13

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Solution

The fourth proportional to 13,099.47, 18,077.86 and 7,722.13 is: 10,656.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,099.47 : 18,077.86 = 7,722.13 : x
  2. Step 2: Convert to fraction form
    13,099.47/18,077.86 = 7,722.13/x
  3. Step 3: Cross multiply
    13,099.47x = 18,077.86 × 7,722.13
  4. Step 4: Simplify right side
    13,099.47x = 139,599,585.04
  5. Step 5: Solve for x
    x = 139,599,585.04/13,099.47
  6. Step 6: Final answer
    x = 10,656.89

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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.