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Finding the Fourth Proportional to 20,277.35, 30,422.54 and 9,748.13

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Solution

The fourth proportional to 20,277.35, 30,422.54 and 9,748.13 is: 14,625.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,277.35 : 30,422.54 = 9,748.13 : x
  2. Step 2: Convert to fraction form
    20,277.35/30,422.54 = 9,748.13/x
  3. Step 3: Cross multiply
    20,277.35x = 30,422.54 × 9,748.13
  4. Step 4: Simplify right side
    20,277.35x = 296,562,826.11
  5. Step 5: Solve for x
    x = 296,562,826.11/20,277.35
  6. Step 6: Final answer
    x = 14,625.33

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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.