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Finding the Fourth Proportional to 20,433.96, 30,656.25 and 9,335.34

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Solution

The fourth proportional to 20,433.96, 30,656.25 and 9,335.34 is: 14,005.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,433.96 : 30,656.25 = 9,335.34 : x
  2. Step 2: Convert to fraction form
    20,433.96/30,656.25 = 9,335.34/x
  3. Step 3: Cross multiply
    20,433.96x = 30,656.25 × 9,335.34
  4. Step 4: Simplify right side
    20,433.96x = 286,186,516.88
  5. Step 5: Solve for x
    x = 286,186,516.88/20,433.96
  6. Step 6: Final answer
    x = 14,005.44

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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.