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Finding the Fourth Proportional to 13,611.46, 20,421.74 and 5,291.76

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Solution

The fourth proportional to 13,611.46, 20,421.74 and 5,291.76 is: 7,939.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,611.46 : 20,421.74 = 5,291.76 : x
  2. Step 2: Convert to fraction form
    13,611.46/20,421.74 = 5,291.76/x
  3. Step 3: Cross multiply
    13,611.46x = 20,421.74 × 5,291.76
  4. Step 4: Simplify right side
    13,611.46x = 108,066,946.86
  5. Step 5: Solve for x
    x = 108,066,946.86/13,611.46
  6. Step 6: Final answer
    x = 7,939.41

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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.