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Finding the Fourth Proportional to 16,410.75, 22,657.71 and 12,627.24

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Solution

The fourth proportional to 16,410.75, 22,657.71 and 12,627.24 is: 17,433.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,410.75 : 22,657.71 = 12,627.24 : x
  2. Step 2: Convert to fraction form
    16,410.75/22,657.71 = 12,627.24/x
  3. Step 3: Cross multiply
    16,410.75x = 22,657.71 × 12,627.24
  4. Step 4: Simplify right side
    16,410.75x = 286,104,342.02
  5. Step 5: Solve for x
    x = 286,104,342.02/16,410.75
  6. Step 6: Final answer
    x = 17,433.96

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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.