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Finding the Fourth Proportional to 25,514.70, 35,213.01 and 14,907.78

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Solution

The fourth proportional to 25,514.70, 35,213.01 and 14,907.78 is: 20,574.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,514.70 : 35,213.01 = 14,907.78 : x
  2. Step 2: Convert to fraction form
    25,514.70/35,213.01 = 14,907.78/x
  3. Step 3: Cross multiply
    25,514.70x = 35,213.01 × 14,907.78
  4. Step 4: Simplify right side
    25,514.70x = 524,947,806.22
  5. Step 5: Solve for x
    x = 524,947,806.22/25,514.70
  6. Step 6: Final answer
    x = 20,574.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.