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Finding the Fourth Proportional to 25,940.72, 38,916.28 and 9,302.05

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Solution

The fourth proportional to 25,940.72, 38,916.28 and 9,302.05 is: 13,954.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,940.72 : 38,916.28 = 9,302.05 : x
  2. Step 2: Convert to fraction form
    25,940.72/38,916.28 = 9,302.05/x
  3. Step 3: Cross multiply
    25,940.72x = 38,916.28 × 9,302.05
  4. Step 4: Simplify right side
    25,940.72x = 362,001,242.65
  5. Step 5: Solve for x
    x = 362,001,242.65/25,940.72
  6. Step 6: Final answer
    x = 13,954.94

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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.