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Finding the Fourth Proportional to 12,838.72, 17,700.36 and 11,526.52

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Solution

The fourth proportional to 12,838.72, 17,700.36 and 11,526.52 is: 15,891.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838.72 : 17,700.36 = 11,526.52 : x
  2. Step 2: Convert to fraction form
    12,838.72/17,700.36 = 11,526.52/x
  3. Step 3: Cross multiply
    12,838.72x = 17,700.36 × 11,526.52
  4. Step 4: Simplify right side
    12,838.72x = 204,023,553.55
  5. Step 5: Solve for x
    x = 204,023,553.55/12,838.72
  6. Step 6: Final answer
    x = 15,891.27

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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.