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Finding the Fourth Proportional to 16,857.68, 23,263.57 and 9,304.01

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Solution

The fourth proportional to 16,857.68, 23,263.57 and 9,304.01 is: 12,839.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,857.68 : 23,263.57 = 9,304.01 : x
  2. Step 2: Convert to fraction form
    16,857.68/23,263.57 = 9,304.01/x
  3. Step 3: Cross multiply
    16,857.68x = 23,263.57 × 9,304.01
  4. Step 4: Simplify right side
    16,857.68x = 216,444,348.34
  5. Step 5: Solve for x
    x = 216,444,348.34/16,857.68
  6. Step 6: Final answer
    x = 12,839.51

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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.