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Finding the Fourth Proportional to 24,804.26, 37,220.98 and 9,812.82

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Solution

The fourth proportional to 24,804.26, 37,220.98 and 9,812.82 is: 14,725.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,804.26 : 37,220.98 = 9,812.82 : x
  2. Step 2: Convert to fraction form
    24,804.26/37,220.98 = 9,812.82/x
  3. Step 3: Cross multiply
    24,804.26x = 37,220.98 × 9,812.82
  4. Step 4: Simplify right side
    24,804.26x = 365,242,919.76
  5. Step 5: Solve for x
    x = 365,242,919.76/24,804.26
  6. Step 6: Final answer
    x = 14,725.01

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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.