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Finding the Fourth Proportional to 25,802.94, 35,605.53 and 14,469.78

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Solution

The fourth proportional to 25,802.94, 35,605.53 and 14,469.78 is: 19,966.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,802.94 : 35,605.53 = 14,469.78 : x
  2. Step 2: Convert to fraction form
    25,802.94/35,605.53 = 14,469.78/x
  3. Step 3: Cross multiply
    25,802.94x = 35,605.53 × 14,469.78
  4. Step 4: Simplify right side
    25,802.94x = 515,204,185.88
  5. Step 5: Solve for x
    x = 515,204,185.88/25,802.94
  6. Step 6: Final answer
    x = 19,966.88

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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.