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Finding the Fourth Proportional to 19,533.34, 26,930.64 and 12,447.46

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Solution

The fourth proportional to 19,533.34, 26,930.64 and 12,447.46 is: 17,161.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,533.34 : 26,930.64 = 12,447.46 : x
  2. Step 2: Convert to fraction form
    19,533.34/26,930.64 = 12,447.46/x
  3. Step 3: Cross multiply
    19,533.34x = 26,930.64 × 12,447.46
  4. Step 4: Simplify right side
    19,533.34x = 335,218,064.17
  5. Step 5: Solve for x
    x = 335,218,064.17/19,533.34
  6. Step 6: Final answer
    x = 17,161.33

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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.