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Finding the Fourth Proportional to 25,916.52, 38,874.24 and 7,448.52

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Solution

The fourth proportional to 25,916.52, 38,874.24 and 7,448.52 is: 11,172.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,916.52 : 38,874.24 = 7,448.52 : x
  2. Step 2: Convert to fraction form
    25,916.52/38,874.24 = 7,448.52/x
  3. Step 3: Cross multiply
    25,916.52x = 38,874.24 × 7,448.52
  4. Step 4: Simplify right side
    25,916.52x = 289,555,554.12
  5. Step 5: Solve for x
    x = 289,555,554.12/25,916.52
  6. Step 6: Final answer
    x = 11,172.62

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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.