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Finding the Fourth Proportional to 23,765.70, 32,804.87 and 13,698.15

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Solution

The fourth proportional to 23,765.70, 32,804.87 and 13,698.15 is: 18,908.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,765.70 : 32,804.87 = 13,698.15 : x
  2. Step 2: Convert to fraction form
    23,765.70/32,804.87 = 13,698.15/x
  3. Step 3: Cross multiply
    23,765.70x = 32,804.87 × 13,698.15
  4. Step 4: Simplify right side
    23,765.70x = 449,365,961.50
  5. Step 5: Solve for x
    x = 449,365,961.50/23,765.70
  6. Step 6: Final answer
    x = 18,908.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.