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Finding the Fourth Proportional to 25,475.25, 35,159.09 and 14,297.25

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Solution

The fourth proportional to 25,475.25, 35,159.09 and 14,297.25 is: 19,732.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,475.25 : 35,159.09 = 14,297.25 : x
  2. Step 2: Convert to fraction form
    25,475.25/35,159.09 = 14,297.25/x
  3. Step 3: Cross multiply
    25,475.25x = 35,159.09 × 14,297.25
  4. Step 4: Simplify right side
    25,475.25x = 502,678,299.50
  5. Step 5: Solve for x
    x = 502,678,299.50/25,475.25
  6. Step 6: Final answer
    x = 19,732.03

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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.