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Finding the Fourth Proportional to 24,916.50, 37,376.91 and 6,448.50

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Solution

The fourth proportional to 24,916.50, 37,376.91 and 6,448.50 is: 9,673.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,916.50 : 37,376.91 = 6,448.50 : x
  2. Step 2: Convert to fraction form
    24,916.50/37,376.91 = 6,448.50/x
  3. Step 3: Cross multiply
    24,916.50x = 37,376.91 × 6,448.50
  4. Step 4: Simplify right side
    24,916.50x = 241,025,004.14
  5. Step 5: Solve for x
    x = 241,025,004.14/24,916.50
  6. Step 6: Final answer
    x = 9,673.31

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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.