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Finding the Fourth Proportional to 24,774.71, 37,163.31 and 7,006.64

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Solution

The fourth proportional to 24,774.71, 37,163.31 and 7,006.64 is: 10,510.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,774.71 : 37,163.31 = 7,006.64 : x
  2. Step 2: Convert to fraction form
    24,774.71/37,163.31 = 7,006.64/x
  3. Step 3: Cross multiply
    24,774.71x = 37,163.31 × 7,006.64
  4. Step 4: Simplify right side
    24,774.71x = 260,389,934.38
  5. Step 5: Solve for x
    x = 260,389,934.38/24,774.71
  6. Step 6: Final answer
    x = 10,510.31

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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.