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Finding the Fourth Proportional to 24,567.05, 36,857.81 and 7,926.77

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Solution

The fourth proportional to 24,567.05, 36,857.81 and 7,926.77 is: 11,892.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,567.05 : 36,857.81 = 7,926.77 : x
  2. Step 2: Convert to fraction form
    24,567.05/36,857.81 = 7,926.77/x
  3. Step 3: Cross multiply
    24,567.05x = 36,857.81 × 7,926.77
  4. Step 4: Simplify right side
    24,567.05x = 292,163,342.94
  5. Step 5: Solve for x
    x = 292,163,342.94/24,567.05
  6. Step 6: Final answer
    x = 11,892.49

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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.