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Finding the Fourth Proportional to 12,849.87, 17,725.43 and 7,543.67

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Solution

The fourth proportional to 12,849.87, 17,725.43 and 7,543.67 is: 10,405.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,849.87 : 17,725.43 = 7,543.67 : x
  2. Step 2: Convert to fraction form
    12,849.87/17,725.43 = 7,543.67/x
  3. Step 3: Cross multiply
    12,849.87x = 17,725.43 × 7,543.67
  4. Step 4: Simplify right side
    12,849.87x = 133,714,724.76
  5. Step 5: Solve for x
    x = 133,714,724.76/12,849.87
  6. Step 6: Final answer
    x = 10,405.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.