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Finding the Fourth Proportional to 17,274.71, 25,912.74 and 7,407.23

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Solution

The fourth proportional to 17,274.71, 25,912.74 and 7,407.23 is: 11,111.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,274.71 : 25,912.74 = 7,407.23 : x
  2. Step 2: Convert to fraction form
    17,274.71/25,912.74 = 7,407.23/x
  3. Step 3: Cross multiply
    17,274.71x = 25,912.74 × 7,407.23
  4. Step 4: Simplify right side
    17,274.71x = 191,941,495.55
  5. Step 5: Solve for x
    x = 191,941,495.55/17,274.71
  6. Step 6: Final answer
    x = 11,111.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.