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Finding the Fourth Proportional to 11,926.32, 17,888.94 and 8,002.68

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Solution

The fourth proportional to 11,926.32, 17,888.94 and 8,002.68 is: 12,003.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,926.32 : 17,888.94 = 8,002.68 : x
  2. Step 2: Convert to fraction form
    11,926.32/17,888.94 = 8,002.68/x
  3. Step 3: Cross multiply
    11,926.32x = 17,888.94 × 8,002.68
  4. Step 4: Simplify right side
    11,926.32x = 143,159,462.36
  5. Step 5: Solve for x
    x = 143,159,462.36/11,926.32
  6. Step 6: Final answer
    x = 12,003.66

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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.