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Finding the Fourth Proportional to 12,274.23, 16,954.28 and 9,476.19

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Solution

The fourth proportional to 12,274.23, 16,954.28 and 9,476.19 is: 13,089.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274.23 : 16,954.28 = 9,476.19 : x
  2. Step 2: Convert to fraction form
    12,274.23/16,954.28 = 9,476.19/x
  3. Step 3: Cross multiply
    12,274.23x = 16,954.28 × 9,476.19
  4. Step 4: Simplify right side
    12,274.23x = 160,661,931.21
  5. Step 5: Solve for x
    x = 160,661,931.21/12,274.23
  6. Step 6: Final answer
    x = 13,089.37

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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.