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Finding the Fourth Proportional to 13,852.58, 20,765.02 and 4,965.50

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Solution

The fourth proportional to 13,852.58, 20,765.02 and 4,965.50 is: 7,443.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,852.58 : 20,765.02 = 4,965.50 : x
  2. Step 2: Convert to fraction form
    13,852.58/20,765.02 = 4,965.50/x
  3. Step 3: Cross multiply
    13,852.58x = 20,765.02 × 4,965.50
  4. Step 4: Simplify right side
    13,852.58x = 103,108,590.57
  5. Step 5: Solve for x
    x = 103,108,590.57/13,852.58
  6. Step 6: Final answer
    x = 7,443.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.