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Finding the Fourth Proportional to 23,842.06, 35,765.45 and 8,259.58

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Solution

The fourth proportional to 23,842.06, 35,765.45 and 8,259.58 is: 12,390.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,842.06 : 35,765.45 = 8,259.58 : x
  2. Step 2: Convert to fraction form
    23,842.06/35,765.45 = 8,259.58/x
  3. Step 3: Cross multiply
    23,842.06x = 35,765.45 × 8,259.58
  4. Step 4: Simplify right side
    23,842.06x = 295,407,595.51
  5. Step 5: Solve for x
    x = 295,407,595.51/23,842.06
  6. Step 6: Final answer
    x = 12,390.19

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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.