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Finding the Fourth Proportional to 15,736.08, 21,715.86 and 9,022.10

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Solution

The fourth proportional to 15,736.08, 21,715.86 and 9,022.10 is: 12,450.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,736.08 : 21,715.86 = 9,022.10 : x
  2. Step 2: Convert to fraction form
    15,736.08/21,715.86 = 9,022.10/x
  3. Step 3: Cross multiply
    15,736.08x = 21,715.86 × 9,022.10
  4. Step 4: Simplify right side
    15,736.08x = 195,922,660.51
  5. Step 5: Solve for x
    x = 195,922,660.51/15,736.08
  6. Step 6: Final answer
    x = 12,450.54

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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.