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Finding the Fourth Proportional to 16,043.16, 22,127.94 and 12,396

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Solution

The fourth proportional to 16,043.16, 22,127.94 and 12,396 is: 17,097.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,043.16 : 22,127.94 = 12,396 : x
  2. Step 2: Convert to fraction form
    16,043.16/22,127.94 = 12,396/x
  3. Step 3: Cross multiply
    16,043.16x = 22,127.94 × 12,396
  4. Step 4: Simplify right side
    16,043.16x = 274,297,944.24
  5. Step 5: Solve for x
    x = 274,297,944.24/16,043.16
  6. Step 6: Final answer
    x = 17,097.50

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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.