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Finding the Fourth Proportional to 21,145.32, 31,712.76 and 7,105.86

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Solution

The fourth proportional to 21,145.32, 31,712.76 and 7,105.86 is: 10,657.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,145.32 : 31,712.76 = 7,105.86 : x
  2. Step 2: Convert to fraction form
    21,145.32/31,712.76 = 7,105.86/x
  3. Step 3: Cross multiply
    21,145.32x = 31,712.76 × 7,105.86
  4. Step 4: Simplify right side
    21,145.32x = 225,346,432.77
  5. Step 5: Solve for x
    x = 225,346,432.77/21,145.32
  6. Step 6: Final answer
    x = 10,657.04

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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.