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Finding the Fourth Proportional to 25,441, 35,111.82 and 14,263

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Solution

The fourth proportional to 25,441, 35,111.82 and 14,263 is: 19,684.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,441 : 35,111.82 = 14,263 : x
  2. Step 2: Convert to fraction form
    25,441/35,111.82 = 14,263/x
  3. Step 3: Cross multiply
    25,441x = 35,111.82 × 14,263
  4. Step 4: Simplify right side
    25,441x = 500,799,888.66
  5. Step 5: Solve for x
    x = 500,799,888.66/25,441
  6. Step 6: Final answer
    x = 19,684.76

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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.