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Finding the Fourth Proportional to 23,537.67, 35,306.69 and 8,746.58

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Solution

The fourth proportional to 23,537.67, 35,306.69 and 8,746.58 is: 13,119.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,537.67 : 35,306.69 = 8,746.58 : x
  2. Step 2: Convert to fraction form
    23,537.67/35,306.69 = 8,746.58/x
  3. Step 3: Cross multiply
    23,537.67x = 35,306.69 × 8,746.58
  4. Step 4: Simplify right side
    23,537.67x = 308,812,692.75
  5. Step 5: Solve for x
    x = 308,812,692.75/23,537.67
  6. Step 6: Final answer
    x = 13,119.93

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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.