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Finding the Fourth Proportional to 25,605.30, 35,334.42 and 14,275.28

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Solution

The fourth proportional to 25,605.30, 35,334.42 and 14,275.28 is: 19,699.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,605.30 : 35,334.42 = 14,275.28 : x
  2. Step 2: Convert to fraction form
    25,605.30/35,334.42 = 14,275.28/x
  3. Step 3: Cross multiply
    25,605.30x = 35,334.42 × 14,275.28
  4. Step 4: Simplify right side
    25,605.30x = 504,408,739.14
  5. Step 5: Solve for x
    x = 504,408,739.14/25,605.30
  6. Step 6: Final answer
    x = 19,699.39

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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.