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Finding the Fourth Proportional to 15,792.96, 23,662.67 and 9,539.84

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Solution

The fourth proportional to 15,792.96, 23,662.67 and 9,539.84 is: 14,293.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,792.96 : 23,662.67 = 9,539.84 : x
  2. Step 2: Convert to fraction form
    15,792.96/23,662.67 = 9,539.84/x
  3. Step 3: Cross multiply
    15,792.96x = 23,662.67 × 9,539.84
  4. Step 4: Simplify right side
    15,792.96x = 225,738,085.77
  5. Step 5: Solve for x
    x = 225,738,085.77/15,792.96
  6. Step 6: Final answer
    x = 14,293.59

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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.