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Finding the Fourth Proportional to 13,469.36, 18,587.64 and 7,880.24

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Solution

The fourth proportional to 13,469.36, 18,587.64 and 7,880.24 is: 10,874.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,469.36 : 18,587.64 = 7,880.24 : x
  2. Step 2: Convert to fraction form
    13,469.36/18,587.64 = 7,880.24/x
  3. Step 3: Cross multiply
    13,469.36x = 18,587.64 × 7,880.24
  4. Step 4: Simplify right side
    13,469.36x = 146,475,064.23
  5. Step 5: Solve for x
    x = 146,475,064.23/13,469.36
  6. Step 6: Final answer
    x = 10,874.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.