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Finding the Fourth Proportional to 15,207.64, 20,983.74 and 10,490.20

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Solution

The fourth proportional to 15,207.64, 20,983.74 and 10,490.20 is: 14,474.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,207.64 : 20,983.74 = 10,490.20 : x
  2. Step 2: Convert to fraction form
    15,207.64/20,983.74 = 10,490.20/x
  3. Step 3: Cross multiply
    15,207.64x = 20,983.74 × 10,490.20
  4. Step 4: Simplify right side
    15,207.64x = 220,123,629.35
  5. Step 5: Solve for x
    x = 220,123,629.35/15,207.64
  6. Step 6: Final answer
    x = 14,474.54

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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.