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Finding the Fourth Proportional to 25,882.34, 35,716.21 and 14,552.26

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Solution

The fourth proportional to 25,882.34, 35,716.21 and 14,552.26 is: 20,081.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,882.34 : 35,716.21 = 14,552.26 : x
  2. Step 2: Convert to fraction form
    25,882.34/35,716.21 = 14,552.26/x
  3. Step 3: Cross multiply
    25,882.34x = 35,716.21 × 14,552.26
  4. Step 4: Simplify right side
    25,882.34x = 519,751,448.46
  5. Step 5: Solve for x
    x = 519,751,448.46/25,882.34
  6. Step 6: Final answer
    x = 20,081.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.