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Finding the Fourth Proportional to 13,406.16, 20,111.29 and 4,397.46

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Solution

The fourth proportional to 13,406.16, 20,111.29 and 4,397.46 is: 6,596.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,406.16 : 20,111.29 = 4,397.46 : x
  2. Step 2: Convert to fraction form
    13,406.16/20,111.29 = 4,397.46/x
  3. Step 3: Cross multiply
    13,406.16x = 20,111.29 × 4,397.46
  4. Step 4: Simplify right side
    13,406.16x = 88,438,676.60
  5. Step 5: Solve for x
    x = 88,438,676.60/13,406.16
  6. Step 6: Final answer
    x = 6,596.87

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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.