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Finding the Fourth Proportional to 13,437.24, 18,536.94 and 11,571

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Solution

The fourth proportional to 13,437.24, 18,536.94 and 11,571 is: 15,962.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,437.24 : 18,536.94 = 11,571 : x
  2. Step 2: Convert to fraction form
    13,437.24/18,536.94 = 11,571/x
  3. Step 3: Cross multiply
    13,437.24x = 18,536.94 × 11,571
  4. Step 4: Simplify right side
    13,437.24x = 214,490,932.74
  5. Step 5: Solve for x
    x = 214,490,932.74/13,437.24
  6. Step 6: Final answer
    x = 15,962.42

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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.