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Finding the Fourth Proportional to 15,571.50, 23,364.54 and 6,808.92

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Solution

The fourth proportional to 15,571.50, 23,364.54 and 6,808.92 is: 10,216.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,571.50 : 23,364.54 = 6,808.92 : x
  2. Step 2: Convert to fraction form
    15,571.50/23,364.54 = 6,808.92/x
  3. Step 3: Cross multiply
    15,571.50x = 23,364.54 × 6,808.92
  4. Step 4: Simplify right side
    15,571.50x = 159,087,283.70
  5. Step 5: Solve for x
    x = 159,087,283.70/15,571.50
  6. Step 6: Final answer
    x = 10,216.57

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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.