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Finding the Fourth Proportional to 25,960.80, 35,825.90 and 14,024.14

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Solution

The fourth proportional to 25,960.80, 35,825.90 and 14,024.14 is: 19,353.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,960.80 : 35,825.90 = 14,024.14 : x
  2. Step 2: Convert to fraction form
    25,960.80/35,825.90 = 14,024.14/x
  3. Step 3: Cross multiply
    25,960.80x = 35,825.90 × 14,024.14
  4. Step 4: Simplify right side
    25,960.80x = 502,427,437.23
  5. Step 5: Solve for x
    x = 502,427,437.23/25,960.80
  6. Step 6: Final answer
    x = 19,353.31

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1.5x scale

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.