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Finding the Fourth Proportional to 25,455.36, 35,130.64 and 14,846

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Solution

The fourth proportional to 25,455.36, 35,130.64 and 14,846 is: 20,488.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,455.36 : 35,130.64 = 14,846 : x
  2. Step 2: Convert to fraction form
    25,455.36/35,130.64 = 14,846/x
  3. Step 3: Cross multiply
    25,455.36x = 35,130.64 × 14,846
  4. Step 4: Simplify right side
    25,455.36x = 521,549,481.44
  5. Step 5: Solve for x
    x = 521,549,481.44/25,455.36
  6. Step 6: Final answer
    x = 20,488.79

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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.