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Finding the Fourth Proportional to 25,758.28, 38,640.66 and 9,114.40

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Solution

The fourth proportional to 25,758.28, 38,640.66 and 9,114.40 is: 13,672.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,758.28 : 38,640.66 = 9,114.40 : x
  2. Step 2: Convert to fraction form
    25,758.28/38,640.66 = 9,114.40/x
  3. Step 3: Cross multiply
    25,758.28x = 38,640.66 × 9,114.40
  4. Step 4: Simplify right side
    25,758.28x = 352,186,431.50
  5. Step 5: Solve for x
    x = 352,186,431.50/25,758.28
  6. Step 6: Final answer
    x = 13,672.75

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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.