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Finding the Fourth Proportional to 13,007.68, 19,496.71 and 5,506.56

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Solution

The fourth proportional to 13,007.68, 19,496.71 and 5,506.56 is: 8,253.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,007.68 : 19,496.71 = 5,506.56 : x
  2. Step 2: Convert to fraction form
    13,007.68/19,496.71 = 5,506.56/x
  3. Step 3: Cross multiply
    13,007.68x = 19,496.71 × 5,506.56
  4. Step 4: Simplify right side
    13,007.68x = 107,359,810.30
  5. Step 5: Solve for x
    x = 107,359,810.30/13,007.68
  6. Step 6: Final answer
    x = 8,253.57

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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.