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Finding the Fourth Proportional to 18,871.86, 28,283.37 and 7,765.98

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Solution

The fourth proportional to 18,871.86, 28,283.37 and 7,765.98 is: 11,638.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,871.86 : 28,283.37 = 7,765.98 : x
  2. Step 2: Convert to fraction form
    18,871.86/28,283.37 = 7,765.98/x
  3. Step 3: Cross multiply
    18,871.86x = 28,283.37 × 7,765.98
  4. Step 4: Simplify right side
    18,871.86x = 219,648,085.75
  5. Step 5: Solve for x
    x = 219,648,085.75/18,871.86
  6. Step 6: Final answer
    x = 11,638.92

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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.