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Finding the Fourth Proportional to 14,718.94, 20,312.44 and 8,431.31

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Solution

The fourth proportional to 14,718.94, 20,312.44 and 8,431.31 is: 11,635.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,718.94 : 20,312.44 = 8,431.31 : x
  2. Step 2: Convert to fraction form
    14,718.94/20,312.44 = 8,431.31/x
  3. Step 3: Cross multiply
    14,718.94x = 20,312.44 × 8,431.31
  4. Step 4: Simplify right side
    14,718.94x = 171,260,508.20
  5. Step 5: Solve for x
    x = 171,260,508.20/14,718.94
  6. Step 6: Final answer
    x = 11,635.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.