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Finding the Fourth Proportional to 14,271.86, 21,409 and 3,741.86

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Solution

The fourth proportional to 14,271.86, 21,409 and 3,741.86 is: 5,613.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,271.86 : 21,409 = 3,741.86 : x
  2. Step 2: Convert to fraction form
    14,271.86/21,409 = 3,741.86/x
  3. Step 3: Cross multiply
    14,271.86x = 21,409 × 3,741.86
  4. Step 4: Simplify right side
    14,271.86x = 80,109,480.74
  5. Step 5: Solve for x
    x = 80,109,480.74/14,271.86
  6. Step 6: Final answer
    x = 5,613.11

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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.