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Finding the Fourth Proportional to 13,254.32, 19,852.32 and 5,439.44

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Solution

The fourth proportional to 13,254.32, 19,852.32 and 5,439.44 is: 8,147.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,254.32 : 19,852.32 = 5,439.44 : x
  2. Step 2: Convert to fraction form
    13,254.32/19,852.32 = 5,439.44/x
  3. Step 3: Cross multiply
    13,254.32x = 19,852.32 × 5,439.44
  4. Step 4: Simplify right side
    13,254.32x = 107,985,503.50
  5. Step 5: Solve for x
    x = 107,985,503.50/13,254.32
  6. Step 6: Final answer
    x = 8,147.19

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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.