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Finding the Fourth Proportional to 11,953.56, 17,924.40 and 7,567.68

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Solution

The fourth proportional to 11,953.56, 17,924.40 and 7,567.68 is: 11,347.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,953.56 : 17,924.40 = 7,567.68 : x
  2. Step 2: Convert to fraction form
    11,953.56/17,924.40 = 7,567.68/x
  3. Step 3: Cross multiply
    11,953.56x = 17,924.40 × 7,567.68
  4. Step 4: Simplify right side
    11,953.56x = 135,646,123.39
  5. Step 5: Solve for x
    x = 135,646,123.39/11,953.56
  6. Step 6: Final answer
    x = 11,347.76

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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.