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Finding the Fourth Proportional to 13,097.66, 19,642.56 and 3,737.02

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Solution

The fourth proportional to 13,097.66, 19,642.56 and 3,737.02 is: 5,604.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.66 : 19,642.56 = 3,737.02 : x
  2. Step 2: Convert to fraction form
    13,097.66/19,642.56 = 3,737.02/x
  3. Step 3: Cross multiply
    13,097.66x = 19,642.56 × 3,737.02
  4. Step 4: Simplify right side
    13,097.66x = 73,404,639.57
  5. Step 5: Solve for x
    x = 73,404,639.57/13,097.66
  6. Step 6: Final answer
    x = 5,604.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.