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Finding the Fourth Proportional to 23,792.24, 35,643 and 16,400.72

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Solution

The fourth proportional to 23,792.24, 35,643 and 16,400.72 is: 24,569.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,792.24 : 35,643 = 16,400.72 : x
  2. Step 2: Convert to fraction form
    23,792.24/35,643 = 16,400.72/x
  3. Step 3: Cross multiply
    23,792.24x = 35,643 × 16,400.72
  4. Step 4: Simplify right side
    23,792.24x = 584,570,862.96
  5. Step 5: Solve for x
    x = 584,570,862.96/23,792.24
  6. Step 6: Final answer
    x = 24,569.81

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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.