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Finding the Fourth Proportional to 20,408.63, 30,618.07 and 9,883.69

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Solution

The fourth proportional to 20,408.63, 30,618.07 and 9,883.69 is: 14,828.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,408.63 : 30,618.07 = 9,883.69 : x
  2. Step 2: Convert to fraction form
    20,408.63/30,618.07 = 9,883.69/x
  3. Step 3: Cross multiply
    20,408.63x = 30,618.07 × 9,883.69
  4. Step 4: Simplify right side
    20,408.63x = 302,619,411.02
  5. Step 5: Solve for x
    x = 302,619,411.02/20,408.63
  6. Step 6: Final answer
    x = 14,828.02

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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.