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Finding the Fourth Proportional to 23,930.32, 33,018.80 and 13,858.16

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Solution

The fourth proportional to 23,930.32, 33,018.80 and 13,858.16 is: 19,121.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,930.32 : 33,018.80 = 13,858.16 : x
  2. Step 2: Convert to fraction form
    23,930.32/33,018.80 = 13,858.16/x
  3. Step 3: Cross multiply
    23,930.32x = 33,018.80 × 13,858.16
  4. Step 4: Simplify right side
    23,930.32x = 457,579,813.41
  5. Step 5: Solve for x
    x = 457,579,813.41/23,930.32
  6. Step 6: Final answer
    x = 19,121.34

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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.