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Finding the Fourth Proportional to 13,569.76, 20,360.82 and 6,992.56

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Solution

The fourth proportional to 13,569.76, 20,360.82 and 6,992.56 is: 10,492.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,569.76 : 20,360.82 = 6,992.56 : x
  2. Step 2: Convert to fraction form
    13,569.76/20,360.82 = 6,992.56/x
  3. Step 3: Cross multiply
    13,569.76x = 20,360.82 × 6,992.56
  4. Step 4: Simplify right side
    13,569.76x = 142,374,255.50
  5. Step 5: Solve for x
    x = 142,374,255.50/13,569.76
  6. Step 6: Final answer
    x = 10,492.02

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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.