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Finding the Fourth Proportional to 25,973.44, 35,842.84 and 14,642.80

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Solution

The fourth proportional to 25,973.44, 35,842.84 and 14,642.80 is: 20,206.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,973.44 : 35,842.84 = 14,642.80 : x
  2. Step 2: Convert to fraction form
    25,973.44/35,842.84 = 14,642.80/x
  3. Step 3: Cross multiply
    25,973.44x = 35,842.84 × 14,642.80
  4. Step 4: Simplify right side
    25,973.44x = 524,839,537.55
  5. Step 5: Solve for x
    x = 524,839,537.55/25,973.44
  6. Step 6: Final answer
    x = 20,206.78

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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.