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Finding the Fourth Proportional to 13,096.56, 18,070.74 and 9,116.22

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Solution

The fourth proportional to 13,096.56, 18,070.74 and 9,116.22 is: 12,578.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,096.56 : 18,070.74 = 9,116.22 : x
  2. Step 2: Convert to fraction form
    13,096.56/18,070.74 = 9,116.22/x
  3. Step 3: Cross multiply
    13,096.56x = 18,070.74 × 9,116.22
  4. Step 4: Simplify right side
    13,096.56x = 164,736,841.40
  5. Step 5: Solve for x
    x = 164,736,841.40/13,096.56
  6. Step 6: Final answer
    x = 12,578.63

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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.