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Finding the Fourth Proportional to 20,513.45, 30,773.62 and 9,421.11

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Solution

The fourth proportional to 20,513.45, 30,773.62 and 9,421.11 is: 14,133.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,513.45 : 30,773.62 = 9,421.11 : x
  2. Step 2: Convert to fraction form
    20,513.45/30,773.62 = 9,421.11/x
  3. Step 3: Cross multiply
    20,513.45x = 30,773.62 × 9,421.11
  4. Step 4: Simplify right side
    20,513.45x = 289,921,670.89
  5. Step 5: Solve for x
    x = 289,921,670.89/20,513.45
  6. Step 6: Final answer
    x = 14,133.25

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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.