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Finding the Fourth Proportional to 13,264.16, 19,890.77 and 5,467.50

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Solution

The fourth proportional to 13,264.16, 19,890.77 and 5,467.50 is: 8,199.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,264.16 : 19,890.77 = 5,467.50 : x
  2. Step 2: Convert to fraction form
    13,264.16/19,890.77 = 5,467.50/x
  3. Step 3: Cross multiply
    13,264.16x = 19,890.77 × 5,467.50
  4. Step 4: Simplify right side
    13,264.16x = 108,752,757.64
  5. Step 5: Solve for x
    x = 108,752,757.64/13,264.16
  6. Step 6: Final answer
    x = 8,199.00

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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.