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Finding the Fourth Proportional to 25,696.69, 38,549.99 and 9,057.26

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Solution

The fourth proportional to 25,696.69, 38,549.99 and 9,057.26 is: 13,587.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,696.69 : 38,549.99 = 9,057.26 : x
  2. Step 2: Convert to fraction form
    25,696.69/38,549.99 = 9,057.26/x
  3. Step 3: Cross multiply
    25,696.69x = 38,549.99 × 9,057.26
  4. Step 4: Simplify right side
    25,696.69x = 349,157,401.45
  5. Step 5: Solve for x
    x = 349,157,401.45/25,696.69
  6. Step 6: Final answer
    x = 13,587.64

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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.