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Finding the Fourth Proportional to 12,871.24, 19,274.19 and 10,785.76

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Solution

The fourth proportional to 12,871.24, 19,274.19 and 10,785.76 is: 16,151.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,871.24 : 19,274.19 = 10,785.76 : x
  2. Step 2: Convert to fraction form
    12,871.24/19,274.19 = 10,785.76/x
  3. Step 3: Cross multiply
    12,871.24x = 19,274.19 × 10,785.76
  4. Step 4: Simplify right side
    12,871.24x = 207,886,787.53
  5. Step 5: Solve for x
    x = 207,886,787.53/12,871.24
  6. Step 6: Final answer
    x = 16,151.26

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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.