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Finding the Fourth Proportional to 14,465.36, 21,707.76 and 7,896.26

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Solution

The fourth proportional to 14,465.36, 21,707.76 and 7,896.26 is: 11,849.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,465.36 : 21,707.76 = 7,896.26 : x
  2. Step 2: Convert to fraction form
    14,465.36/21,707.76 = 7,896.26/x
  3. Step 3: Cross multiply
    14,465.36x = 21,707.76 × 7,896.26
  4. Step 4: Simplify right side
    14,465.36x = 171,410,116.98
  5. Step 5: Solve for x
    x = 171,410,116.98/14,465.36
  6. Step 6: Final answer
    x = 11,849.70

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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.