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Finding the Fourth Proportional to 12,837.42, 17,715.93 and 7,536.06

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Solution

The fourth proportional to 12,837.42, 17,715.93 and 7,536.06 is: 10,399.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,837.42 : 17,715.93 = 7,536.06 : x
  2. Step 2: Convert to fraction form
    12,837.42/17,715.93 = 7,536.06/x
  3. Step 3: Cross multiply
    12,837.42x = 17,715.93 × 7,536.06
  4. Step 4: Simplify right side
    12,837.42x = 133,508,311.44
  5. Step 5: Solve for x
    x = 133,508,311.44/12,837.42
  6. Step 6: Final answer
    x = 10,399.93

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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.