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Finding the Fourth Proportional to 34,274.24, 51,401.63 and 13,492.88

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Solution

The fourth proportional to 34,274.24, 51,401.63 and 13,492.88 is: 20,235.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,274.24 : 51,401.63 = 13,492.88 : x
  2. Step 2: Convert to fraction form
    34,274.24/51,401.63 = 13,492.88/x
  3. Step 3: Cross multiply
    34,274.24x = 51,401.63 × 13,492.88
  4. Step 4: Simplify right side
    34,274.24x = 693,556,025.39
  5. Step 5: Solve for x
    x = 693,556,025.39/34,274.24
  6. Step 6: Final answer
    x = 20,235.49

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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.