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Finding the Fourth Proportional to 13,467.84, 20,201.85 and 4,702.76

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Solution

The fourth proportional to 13,467.84, 20,201.85 and 4,702.76 is: 7,054.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,467.84 : 20,201.85 = 4,702.76 : x
  2. Step 2: Convert to fraction form
    13,467.84/20,201.85 = 4,702.76/x
  3. Step 3: Cross multiply
    13,467.84x = 20,201.85 × 4,702.76
  4. Step 4: Simplify right side
    13,467.84x = 95,004,351.10
  5. Step 5: Solve for x
    x = 95,004,351.10/13,467.84
  6. Step 6: Final answer
    x = 7,054.16

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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.