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Finding the Fourth Proportional to 13,406.16, 20,111.40 and 4,170

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Solution

The fourth proportional to 13,406.16, 20,111.40 and 4,170 is: 6,255.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,406.16 : 20,111.40 = 4,170 : x
  2. Step 2: Convert to fraction form
    13,406.16/20,111.40 = 4,170/x
  3. Step 3: Cross multiply
    13,406.16x = 20,111.40 × 4,170
  4. Step 4: Simplify right side
    13,406.16x = 83,864,538
  5. Step 5: Solve for x
    x = 83,864,538/13,406.16
  6. Step 6: Final answer
    x = 6,255.67

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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.