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Finding the Fourth Proportional to 14,468.76, 19,967.31 and 8,181

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Solution

The fourth proportional to 14,468.76, 19,967.31 and 8,181 is: 11,290.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,468.76 : 19,967.31 = 8,181 : x
  2. Step 2: Convert to fraction form
    14,468.76/19,967.31 = 8,181/x
  3. Step 3: Cross multiply
    14,468.76x = 19,967.31 × 8,181
  4. Step 4: Simplify right side
    14,468.76x = 163,352,563.11
  5. Step 5: Solve for x
    x = 163,352,563.11/14,468.76
  6. Step 6: Final answer
    x = 11,290.02

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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.