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Finding the Fourth Proportional to 14,313.09, 21,467.16 and 6,520.08

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Solution

The fourth proportional to 14,313.09, 21,467.16 and 6,520.08 is: 9,778.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,313.09 : 21,467.16 = 6,520.08 : x
  2. Step 2: Convert to fraction form
    14,313.09/21,467.16 = 6,520.08/x
  3. Step 3: Cross multiply
    14,313.09x = 21,467.16 × 6,520.08
  4. Step 4: Simplify right side
    14,313.09x = 139,967,600.57
  5. Step 5: Solve for x
    x = 139,967,600.57/14,313.09
  6. Step 6: Final answer
    x = 9,778.99

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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.