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Finding the Fourth Proportional to 25,278, 34,883.64 and 14,100

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Solution

The fourth proportional to 25,278, 34,883.64 and 14,100 is: 19,458

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,278 : 34,883.64 = 14,100 : x
  2. Step 2: Convert to fraction form
    25,278/34,883.64 = 14,100/x
  3. Step 3: Cross multiply
    25,278x = 34,883.64 × 14,100
  4. Step 4: Simplify right side
    25,278x = 491,859,324
  5. Step 5: Solve for x
    x = 491,859,324/25,278
  6. Step 6: Final answer
    x = 19,458

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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.