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Finding the Fourth Proportional to 25,337, 34,965.06 and 14,159

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Solution

The fourth proportional to 25,337, 34,965.06 and 14,159 is: 19,539.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,337 : 34,965.06 = 14,159 : x
  2. Step 2: Convert to fraction form
    25,337/34,965.06 = 14,159/x
  3. Step 3: Cross multiply
    25,337x = 34,965.06 × 14,159
  4. Step 4: Simplify right side
    25,337x = 495,070,284.54
  5. Step 5: Solve for x
    x = 495,070,284.54/25,337
  6. Step 6: Final answer
    x = 19,539.42

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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.