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Finding the Fourth Proportional to 25,960.16, 35,825.03 and 14,023.50

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Solution

The fourth proportional to 25,960.16, 35,825.03 and 14,023.50 is: 19,352.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,960.16 : 35,825.03 = 14,023.50 : x
  2. Step 2: Convert to fraction form
    25,960.16/35,825.03 = 14,023.50/x
  3. Step 3: Cross multiply
    25,960.16x = 35,825.03 × 14,023.50
  4. Step 4: Simplify right side
    25,960.16x = 502,392,308.21
  5. Step 5: Solve for x
    x = 502,392,308.21/25,960.16
  6. Step 6: Final answer
    x = 19,352.43

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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.