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Finding the Fourth Proportional to 13,026, 19,536.74 and 3,663.80

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Solution

The fourth proportional to 13,026, 19,536.74 and 3,663.80 is: 5,495.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,026 : 19,536.74 = 3,663.80 : x
  2. Step 2: Convert to fraction form
    13,026/19,536.74 = 3,663.80/x
  3. Step 3: Cross multiply
    13,026x = 19,536.74 × 3,663.80
  4. Step 4: Simplify right side
    13,026x = 71,578,708.01
  5. Step 5: Solve for x
    x = 71,578,708.01/13,026
  6. Step 6: Final answer
    x = 5,495.06

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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.