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Finding the Fourth Proportional to 25,797.92, 35,604.12 and 14,470.52

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Solution

The fourth proportional to 25,797.92, 35,604.12 and 14,470.52 is: 19,970.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,797.92 : 35,604.12 = 14,470.52 : x
  2. Step 2: Convert to fraction form
    25,797.92/35,604.12 = 14,470.52/x
  3. Step 3: Cross multiply
    25,797.92x = 35,604.12 × 14,470.52
  4. Step 4: Simplify right side
    25,797.92x = 515,210,130.54
  5. Step 5: Solve for x
    x = 515,210,130.54/25,797.92
  6. Step 6: Final answer
    x = 19,970.99

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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.