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Finding the Fourth Proportional to 16,865.72, 23,274.56 and 9,312.06

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Solution

The fourth proportional to 16,865.72, 23,274.56 and 9,312.06 is: 12,850.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,865.72 : 23,274.56 = 9,312.06 : x
  2. Step 2: Convert to fraction form
    16,865.72/23,274.56 = 9,312.06/x
  3. Step 3: Cross multiply
    16,865.72x = 23,274.56 × 9,312.06
  4. Step 4: Simplify right side
    16,865.72x = 216,734,099.19
  5. Step 5: Solve for x
    x = 216,734,099.19/16,865.72
  6. Step 6: Final answer
    x = 12,850.57

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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.