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Finding the Fourth Proportional to 23,830.67, 35,734.59 and 8,827.51

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Solution

The fourth proportional to 23,830.67, 35,734.59 and 8,827.51 is: 13,237.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,830.67 : 35,734.59 = 8,827.51 : x
  2. Step 2: Convert to fraction form
    23,830.67/35,734.59 = 8,827.51/x
  3. Step 3: Cross multiply
    23,830.67x = 35,734.59 × 8,827.51
  4. Step 4: Simplify right side
    23,830.67x = 315,447,352.56
  5. Step 5: Solve for x
    x = 315,447,352.56/23,830.67
  6. Step 6: Final answer
    x = 13,237.03

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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.