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Finding the Fourth Proportional to 25,169.94, 37,735.47 and 15,916.50

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Solution

The fourth proportional to 25,169.94, 37,735.47 and 15,916.50 is: 23,862.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,169.94 : 37,735.47 = 15,916.50 : x
  2. Step 2: Convert to fraction form
    25,169.94/37,735.47 = 15,916.50/x
  3. Step 3: Cross multiply
    25,169.94x = 37,735.47 × 15,916.50
  4. Step 4: Simplify right side
    25,169.94x = 600,616,608.26
  5. Step 5: Solve for x
    x = 600,616,608.26/25,169.94
  6. Step 6: Final answer
    x = 23,862.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.