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Finding the Fourth Proportional to 25,701, 38,554.56 and 9,057.57

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Solution

The fourth proportional to 25,701, 38,554.56 and 9,057.57 is: 13,587.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,701 : 38,554.56 = 9,057.57 : x
  2. Step 2: Convert to fraction form
    25,701/38,554.56 = 9,057.57/x
  3. Step 3: Cross multiply
    25,701x = 38,554.56 × 9,057.57
  4. Step 4: Simplify right side
    25,701x = 349,210,626.02
  5. Step 5: Solve for x
    x = 349,210,626.02/25,701
  6. Step 6: Final answer
    x = 13,587.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.