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Finding the Fourth Proportional to 15,838.48, 23,766.42 and 8,047.96

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Solution

The fourth proportional to 15,838.48, 23,766.42 and 8,047.96 is: 12,076.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,838.48 : 23,766.42 = 8,047.96 : x
  2. Step 2: Convert to fraction form
    15,838.48/23,766.42 = 8,047.96/x
  3. Step 3: Cross multiply
    15,838.48x = 23,766.42 × 8,047.96
  4. Step 4: Simplify right side
    15,838.48x = 191,271,197.50
  5. Step 5: Solve for x
    x = 191,271,197.50/15,838.48
  6. Step 6: Final answer
    x = 12,076.36

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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.