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Finding the Fourth Proportional to 13,793.58, 19,041.75 and 8,492.94

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Solution

The fourth proportional to 13,793.58, 19,041.75 and 8,492.94 is: 11,724.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793.58 : 19,041.75 = 8,492.94 : x
  2. Step 2: Convert to fraction form
    13,793.58/19,041.75 = 8,492.94/x
  3. Step 3: Cross multiply
    13,793.58x = 19,041.75 × 8,492.94
  4. Step 4: Simplify right side
    13,793.58x = 161,720,440.25
  5. Step 5: Solve for x
    x = 161,720,440.25/13,793.58
  6. Step 6: Final answer
    x = 11,724.33

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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.