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Finding the Fourth Proportional to 25,380, 35,016.30 and 16,434.36

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Solution

The fourth proportional to 25,380, 35,016.30 and 16,434.36 is: 22,674.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,380 : 35,016.30 = 16,434.36 : x
  2. Step 2: Convert to fraction form
    25,380/35,016.30 = 16,434.36/x
  3. Step 3: Cross multiply
    25,380x = 35,016.30 × 16,434.36
  4. Step 4: Simplify right side
    25,380x = 575,470,480.07
  5. Step 5: Solve for x
    x = 575,470,480.07/25,380
  6. Step 6: Final answer
    x = 22,674.17

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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.