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Finding the Fourth Proportional to 24,707, 37,070.79 and 9,926.42

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Solution

The fourth proportional to 24,707, 37,070.79 and 9,926.42 is: 14,893.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,707 : 37,070.79 = 9,926.42 : x
  2. Step 2: Convert to fraction form
    24,707/37,070.79 = 9,926.42/x
  3. Step 3: Cross multiply
    24,707x = 37,070.79 × 9,926.42
  4. Step 4: Simplify right side
    24,707x = 367,980,231.27
  5. Step 5: Solve for x
    x = 367,980,231.27/24,707
  6. Step 6: Final answer
    x = 14,893.76

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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.