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Finding the Fourth Proportional to 23,788.89, 35,688.20 and 9,749.16

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Solution

The fourth proportional to 23,788.89, 35,688.20 and 9,749.16 is: 14,625.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,788.89 : 35,688.20 = 9,749.16 : x
  2. Step 2: Convert to fraction form
    23,788.89/35,688.20 = 9,749.16/x
  3. Step 3: Cross multiply
    23,788.89x = 35,688.20 × 9,749.16
  4. Step 4: Simplify right side
    23,788.89x = 347,929,923.17
  5. Step 5: Solve for x
    x = 347,929,923.17/23,788.89
  6. Step 6: Final answer
    x = 14,625.73

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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.