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Finding the Fourth Proportional to 13,251.44, 19,883.64 and 5,458.16

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Solution

The fourth proportional to 13,251.44, 19,883.64 and 5,458.16 is: 8,189.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,251.44 : 19,883.64 = 5,458.16 : x
  2. Step 2: Convert to fraction form
    13,251.44/19,883.64 = 5,458.16/x
  3. Step 3: Cross multiply
    13,251.44x = 19,883.64 × 5,458.16
  4. Step 4: Simplify right side
    13,251.44x = 108,528,088.50
  5. Step 5: Solve for x
    x = 108,528,088.50/13,251.44
  6. Step 6: Final answer
    x = 8,189.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.