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Finding the Fourth Proportional to 14,549.13, 20,077.12 and 8,893.34

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Solution

The fourth proportional to 14,549.13, 20,077.12 and 8,893.34 is: 12,272.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,549.13 : 20,077.12 = 8,893.34 : x
  2. Step 2: Convert to fraction form
    14,549.13/20,077.12 = 8,893.34/x
  3. Step 3: Cross multiply
    14,549.13x = 20,077.12 × 8,893.34
  4. Step 4: Simplify right side
    14,549.13x = 178,552,703.31
  5. Step 5: Solve for x
    x = 178,552,703.31/14,549.13
  6. Step 6: Final answer
    x = 12,272.40

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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.