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Finding the Fourth Proportional to 16,283.51, 22,446.74 and 12,740.57

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Solution

The fourth proportional to 16,283.51, 22,446.74 and 12,740.57 is: 17,562.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,283.51 : 22,446.74 = 12,740.57 : x
  2. Step 2: Convert to fraction form
    16,283.51/22,446.74 = 12,740.57/x
  3. Step 3: Cross multiply
    16,283.51x = 22,446.74 × 12,740.57
  4. Step 4: Simplify right side
    16,283.51x = 285,984,181.86
  5. Step 5: Solve for x
    x = 285,984,181.86/16,283.51
  6. Step 6: Final answer
    x = 17,562.81

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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.