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Finding the Fourth Proportional to 24,829.50, 37,244.25 and 7,298.94

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Solution

The fourth proportional to 24,829.50, 37,244.25 and 7,298.94 is: 10,948.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,829.50 : 37,244.25 = 7,298.94 : x
  2. Step 2: Convert to fraction form
    24,829.50/37,244.25 = 7,298.94/x
  3. Step 3: Cross multiply
    24,829.50x = 37,244.25 × 7,298.94
  4. Step 4: Simplify right side
    24,829.50x = 271,843,546.10
  5. Step 5: Solve for x
    x = 271,843,546.10/24,829.50
  6. Step 6: Final answer
    x = 10,948.41

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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.