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Finding the Fourth Proportional to 22,415.45, 30,945.74 and 13,465.13

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Solution

The fourth proportional to 22,415.45, 30,945.74 and 13,465.13 is: 18,589.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,415.45 : 30,945.74 = 13,465.13 : x
  2. Step 2: Convert to fraction form
    22,415.45/30,945.74 = 13,465.13/x
  3. Step 3: Cross multiply
    22,415.45x = 30,945.74 × 13,465.13
  4. Step 4: Simplify right side
    22,415.45x = 416,688,189.99
  5. Step 5: Solve for x
    x = 416,688,189.99/22,415.45
  6. Step 6: Final answer
    x = 18,589.33

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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.