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Finding the Fourth Proportional to 14,646, 20,215.13 and 8,362.02

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Solution

The fourth proportional to 14,646, 20,215.13 and 8,362.02 is: 11,541.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,646 : 20,215.13 = 8,362.02 : x
  2. Step 2: Convert to fraction form
    14,646/20,215.13 = 8,362.02/x
  3. Step 3: Cross multiply
    14,646x = 20,215.13 × 8,362.02
  4. Step 4: Simplify right side
    14,646x = 169,039,321.36
  5. Step 5: Solve for x
    x = 169,039,321.36/14,646
  6. Step 6: Final answer
    x = 11,541.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.