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Finding the Fourth Proportional to 25,141.64, 34,694.52 and 13,810.80

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Solution

The fourth proportional to 25,141.64, 34,694.52 and 13,810.80 is: 19,058.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,141.64 : 34,694.52 = 13,810.80 : x
  2. Step 2: Convert to fraction form
    25,141.64/34,694.52 = 13,810.80/x
  3. Step 3: Cross multiply
    25,141.64x = 34,694.52 × 13,810.80
  4. Step 4: Simplify right side
    25,141.64x = 479,159,076.82
  5. Step 5: Solve for x
    x = 479,159,076.82/25,141.64
  6. Step 6: Final answer
    x = 19,058.39

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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.