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Finding the Fourth Proportional to 25,978.03, 35,849.56 and 14,041.34

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Solution

The fourth proportional to 25,978.03, 35,849.56 and 14,041.34 is: 19,376.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,978.03 : 35,849.56 = 14,041.34 : x
  2. Step 2: Convert to fraction form
    25,978.03/35,849.56 = 14,041.34/x
  3. Step 3: Cross multiply
    25,978.03x = 35,849.56 × 14,041.34
  4. Step 4: Simplify right side
    25,978.03x = 503,375,611.36
  5. Step 5: Solve for x
    x = 503,375,611.36/25,978.03
  6. Step 6: Final answer
    x = 19,376.98

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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.