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Finding the Fourth Proportional to 14,697.84, 20,288.84 and 10,224.19

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Solution

The fourth proportional to 14,697.84, 20,288.84 and 10,224.19 is: 14,113.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,697.84 : 20,288.84 = 10,224.19 : x
  2. Step 2: Convert to fraction form
    14,697.84/20,288.84 = 10,224.19/x
  3. Step 3: Cross multiply
    14,697.84x = 20,288.84 × 10,224.19
  4. Step 4: Simplify right side
    14,697.84x = 207,436,853.20
  5. Step 5: Solve for x
    x = 207,436,853.20/14,697.84
  6. Step 6: Final answer
    x = 14,113.42

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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.