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Finding the Fourth Proportional to 25,805, 35,610.66 and 14,627

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Solution

The fourth proportional to 25,805, 35,610.66 and 14,627 is: 20,185.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,805 : 35,610.66 = 14,627 : x
  2. Step 2: Convert to fraction form
    25,805/35,610.66 = 14,627/x
  3. Step 3: Cross multiply
    25,805x = 35,610.66 × 14,627
  4. Step 4: Simplify right side
    25,805x = 520,877,123.82
  5. Step 5: Solve for x
    x = 520,877,123.82/25,805
  6. Step 6: Final answer
    x = 20,185.12

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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.