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Finding the Fourth Proportional to 14,825.14, 20,471.16 and 10,589.19

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Solution

The fourth proportional to 14,825.14, 20,471.16 and 10,589.19 is: 14,621.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,825.14 : 20,471.16 = 10,589.19 : x
  2. Step 2: Convert to fraction form
    14,825.14/20,471.16 = 10,589.19/x
  3. Step 3: Cross multiply
    14,825.14x = 20,471.16 × 10,589.19
  4. Step 4: Simplify right side
    14,825.14x = 216,773,093.76
  5. Step 5: Solve for x
    x = 216,773,093.76/14,825.14
  6. Step 6: Final answer
    x = 14,621.99

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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.