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Finding the Fourth Proportional to 23,762.82, 32,792.18 and 13,007.68

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Solution

The fourth proportional to 23,762.82, 32,792.18 and 13,007.68 is: 17,950.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,762.82 : 32,792.18 = 13,007.68 : x
  2. Step 2: Convert to fraction form
    23,762.82/32,792.18 = 13,007.68/x
  3. Step 3: Cross multiply
    23,762.82x = 32,792.18 × 13,007.68
  4. Step 4: Simplify right side
    23,762.82x = 426,550,183.94
  5. Step 5: Solve for x
    x = 426,550,183.94/23,762.82
  6. Step 6: Final answer
    x = 17,950.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.