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Finding the Fourth Proportional to 22,141.32, 30,558.96 and 13,194

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Solution

The fourth proportional to 22,141.32, 30,558.96 and 13,194 is: 18,210.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,141.32 : 30,558.96 = 13,194 : x
  2. Step 2: Convert to fraction form
    22,141.32/30,558.96 = 13,194/x
  3. Step 3: Cross multiply
    22,141.32x = 30,558.96 × 13,194
  4. Step 4: Simplify right side
    22,141.32x = 403,194,918.24
  5. Step 5: Solve for x
    x = 403,194,918.24/22,141.32
  6. Step 6: Final answer
    x = 18,210.07

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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.