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Finding the Fourth Proportional to 21,404.10, 32,142.60 and 14,041.20

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Solution

The fourth proportional to 21,404.10, 32,142.60 and 14,041.20 is: 21,085.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,404.10 : 32,142.60 = 14,041.20 : x
  2. Step 2: Convert to fraction form
    21,404.10/32,142.60 = 14,041.20/x
  3. Step 3: Cross multiply
    21,404.10x = 32,142.60 × 14,041.20
  4. Step 4: Simplify right side
    21,404.10x = 451,320,675.12
  5. Step 5: Solve for x
    x = 451,320,675.12/21,404.10
  6. Step 6: Final answer
    x = 21,085.71

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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.