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Finding the Fourth Proportional to 20,224.95, 30,313.59 and 9,118.63

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Solution

The fourth proportional to 20,224.95, 30,313.59 and 9,118.63 is: 13,667.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,224.95 : 30,313.59 = 9,118.63 : x
  2. Step 2: Convert to fraction form
    20,224.95/30,313.59 = 9,118.63/x
  3. Step 3: Cross multiply
    20,224.95x = 30,313.59 × 9,118.63
  4. Step 4: Simplify right side
    20,224.95x = 276,418,466.17
  5. Step 5: Solve for x
    x = 276,418,466.17/20,224.95
  6. Step 6: Final answer
    x = 13,667.20

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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.