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Finding the Fourth Proportional to 23,858.38, 32,927.60 and 14,427.01

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Solution

The fourth proportional to 23,858.38, 32,927.60 and 14,427.01 is: 19,911.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,858.38 : 32,927.60 = 14,427.01 : x
  2. Step 2: Convert to fraction form
    23,858.38/32,927.60 = 14,427.01/x
  3. Step 3: Cross multiply
    23,858.38x = 32,927.60 × 14,427.01
  4. Step 4: Simplify right side
    23,858.38x = 475,046,577.70
  5. Step 5: Solve for x
    x = 475,046,577.70/23,858.38
  6. Step 6: Final answer
    x = 19,911.10

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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.