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Finding the Fourth Proportional to 25,409.33, 35,064.41 and 14,078.78

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Solution

The fourth proportional to 25,409.33, 35,064.41 and 14,078.78 is: 19,428.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,409.33 : 35,064.41 = 14,078.78 : x
  2. Step 2: Convert to fraction form
    25,409.33/35,064.41 = 14,078.78/x
  3. Step 3: Cross multiply
    25,409.33x = 35,064.41 × 14,078.78
  4. Step 4: Simplify right side
    25,409.33x = 493,664,131.49
  5. Step 5: Solve for x
    x = 493,664,131.49/25,409.33
  6. Step 6: Final answer
    x = 19,428.46

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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.