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Finding the Fourth Proportional to 24,707.34, 37,067.93 and 9,926.63

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Solution

The fourth proportional to 24,707.34, 37,067.93 and 9,926.63 is: 14,892.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,707.34 : 37,067.93 = 9,926.63 : x
  2. Step 2: Convert to fraction form
    24,707.34/37,067.93 = 9,926.63/x
  3. Step 3: Cross multiply
    24,707.34x = 37,067.93 × 9,926.63
  4. Step 4: Simplify right side
    24,707.34x = 367,959,747.82
  5. Step 5: Solve for x
    x = 367,959,747.82/24,707.34
  6. Step 6: Final answer
    x = 14,892.73

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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.