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Finding the Fourth Proportional to 14,548.68, 20,077.74 and 8,261.64

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Solution

The fourth proportional to 14,548.68, 20,077.74 and 8,261.64 is: 11,401.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,548.68 : 20,077.74 = 8,261.64 : x
  2. Step 2: Convert to fraction form
    14,548.68/20,077.74 = 8,261.64/x
  3. Step 3: Cross multiply
    14,548.68x = 20,077.74 × 8,261.64
  4. Step 4: Simplify right side
    14,548.68x = 165,875,059.89
  5. Step 5: Solve for x
    x = 165,875,059.89/14,548.68
  6. Step 6: Final answer
    x = 11,401.38

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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.