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Finding the Fourth Proportional to 14,719.08, 20,312.34 and 8,431.44

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Solution

The fourth proportional to 14,719.08, 20,312.34 and 8,431.44 is: 11,635.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,719.08 : 20,312.34 = 8,431.44 : x
  2. Step 2: Convert to fraction form
    14,719.08/20,312.34 = 8,431.44/x
  3. Step 3: Cross multiply
    14,719.08x = 20,312.34 × 8,431.44
  4. Step 4: Simplify right side
    14,719.08x = 171,262,275.97
  5. Step 5: Solve for x
    x = 171,262,275.97/14,719.08
  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.