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Finding the Fourth Proportional to 14,500.64, 21,745.84 and 6,288.16

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Solution

The fourth proportional to 14,500.64, 21,745.84 and 6,288.16 is: 9,430.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,500.64 : 21,745.84 = 6,288.16 : x
  2. Step 2: Convert to fraction form
    14,500.64/21,745.84 = 6,288.16/x
  3. Step 3: Cross multiply
    14,500.64x = 21,745.84 × 6,288.16
  4. Step 4: Simplify right side
    14,500.64x = 136,741,321.25
  5. Step 5: Solve for x
    x = 136,741,321.25/14,500.64
  6. Step 6: Final answer
    x = 9,430.02

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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.