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Finding the Fourth Proportional to 20,560.42, 30,831 and 7,411.06

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Solution

The fourth proportional to 20,560.42, 30,831 and 7,411.06 is: 11,113.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,560.42 : 30,831 = 7,411.06 : x
  2. Step 2: Convert to fraction form
    20,560.42/30,831 = 7,411.06/x
  3. Step 3: Cross multiply
    20,560.42x = 30,831 × 7,411.06
  4. Step 4: Simplify right side
    20,560.42x = 228,490,390.86
  5. Step 5: Solve for x
    x = 228,490,390.86/20,560.42
  6. Step 6: Final answer
    x = 11,113.12

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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.