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Finding the Fourth Proportional to 10,314.84, 15,471.78 and 2,523.24

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Solution

The fourth proportional to 10,314.84, 15,471.78 and 2,523.24 is: 3,784.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314.84 : 15,471.78 = 2,523.24 : x
  2. Step 2: Convert to fraction form
    10,314.84/15,471.78 = 2,523.24/x
  3. Step 3: Cross multiply
    10,314.84x = 15,471.78 × 2,523.24
  4. Step 4: Simplify right side
    10,314.84x = 39,039,014.17
  5. Step 5: Solve for x
    x = 39,039,014.17/10,314.84
  6. Step 6: Final answer
    x = 3,784.74

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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.