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Finding the Fourth Proportional to 13,129.50, 19,697.88 and 5,734.60

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Solution

The fourth proportional to 13,129.50, 19,697.88 and 5,734.60 is: 8,603.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,129.50 : 19,697.88 = 5,734.60 : x
  2. Step 2: Convert to fraction form
    13,129.50/19,697.88 = 5,734.60/x
  3. Step 3: Cross multiply
    13,129.50x = 19,697.88 × 5,734.60
  4. Step 4: Simplify right side
    13,129.50x = 112,959,462.65
  5. Step 5: Solve for x
    x = 112,959,462.65/13,129.50
  6. Step 6: Final answer
    x = 8,603.49

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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.