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Finding the Fourth Proportional to 13,097.64, 19,642.56 and 3,737.04

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Solution

The fourth proportional to 13,097.64, 19,642.56 and 3,737.04 is: 5,604.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.64 : 19,642.56 = 3,737.04 : x
  2. Step 2: Convert to fraction form
    13,097.64/19,642.56 = 3,737.04/x
  3. Step 3: Cross multiply
    13,097.64x = 19,642.56 × 3,737.04
  4. Step 4: Simplify right side
    13,097.64x = 73,405,032.42
  5. Step 5: Solve for x
    x = 73,405,032.42/13,097.64
  6. Step 6: Final answer
    x = 5,604.45

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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.