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Finding the Fourth Proportional to 13,012.98, 19,516.35 and 3,653.40

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Solution

The fourth proportional to 13,012.98, 19,516.35 and 3,653.40 is: 5,479.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,012.98 : 19,516.35 = 3,653.40 : x
  2. Step 2: Convert to fraction form
    13,012.98/19,516.35 = 3,653.40/x
  3. Step 3: Cross multiply
    13,012.98x = 19,516.35 × 3,653.40
  4. Step 4: Simplify right side
    13,012.98x = 71,301,033.09
  5. Step 5: Solve for x
    x = 71,301,033.09/13,012.98
  6. Step 6: Final answer
    x = 5,479.22

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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.