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Finding the Fourth Proportional to 13,007.88, 19,511.60 and 3,147.08

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Solution

The fourth proportional to 13,007.88, 19,511.60 and 3,147.08 is: 4,720.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,007.88 : 19,511.60 = 3,147.08 : x
  2. Step 2: Convert to fraction form
    13,007.88/19,511.60 = 3,147.08/x
  3. Step 3: Cross multiply
    13,007.88x = 19,511.60 × 3,147.08
  4. Step 4: Simplify right side
    13,007.88x = 61,404,566.13
  5. Step 5: Solve for x
    x = 61,404,566.13/13,007.88
  6. Step 6: Final answer
    x = 4,720.57

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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.