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Finding the Fourth Proportional to 24,817.98, 37,214.58 and 7,948.89

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Solution

The fourth proportional to 24,817.98, 37,214.58 and 7,948.89 is: 11,919.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,817.98 : 37,214.58 = 7,948.89 : x
  2. Step 2: Convert to fraction form
    24,817.98/37,214.58 = 7,948.89/x
  3. Step 3: Cross multiply
    24,817.98x = 37,214.58 × 7,948.89
  4. Step 4: Simplify right side
    24,817.98x = 295,814,602.82
  5. Step 5: Solve for x
    x = 295,814,602.82/24,817.98
  6. Step 6: Final answer
    x = 11,919.37

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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.