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Finding the Fourth Proportional to 14,291.10, 19,719.86 and 8,241.57

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Solution

The fourth proportional to 14,291.10, 19,719.86 and 8,241.57 is: 11,372.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,291.10 : 19,719.86 = 8,241.57 : x
  2. Step 2: Convert to fraction form
    14,291.10/19,719.86 = 8,241.57/x
  3. Step 3: Cross multiply
    14,291.10x = 19,719.86 × 8,241.57
  4. Step 4: Simplify right side
    14,291.10x = 162,522,565.37
  5. Step 5: Solve for x
    x = 162,522,565.37/14,291.10
  6. Step 6: Final answer
    x = 11,372.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.