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Finding the Fourth Proportional to 14,893.32, 22,331.44 and 6,121

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Solution

The fourth proportional to 14,893.32, 22,331.44 and 6,121 is: 9,177.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,893.32 : 22,331.44 = 6,121 : x
  2. Step 2: Convert to fraction form
    14,893.32/22,331.44 = 6,121/x
  3. Step 3: Cross multiply
    14,893.32x = 22,331.44 × 6,121
  4. Step 4: Simplify right side
    14,893.32x = 136,690,744.24
  5. Step 5: Solve for x
    x = 136,690,744.24/14,893.32
  6. Step 6: Final answer
    x = 9,177.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.