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Finding the Fourth Proportional to 12,847.86, 17,730.63 and 10,048.50

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Solution

The fourth proportional to 12,847.86, 17,730.63 and 10,048.50 is: 13,867.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,847.86 : 17,730.63 = 10,048.50 : x
  2. Step 2: Convert to fraction form
    12,847.86/17,730.63 = 10,048.50/x
  3. Step 3: Cross multiply
    12,847.86x = 17,730.63 × 10,048.50
  4. Step 4: Simplify right side
    12,847.86x = 178,166,235.56
  5. Step 5: Solve for x
    x = 178,166,235.56/12,847.86
  6. Step 6: Final answer
    x = 13,867.39

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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.