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Finding the Fourth Proportional to 25,706.90, 38,563.43 and 9,063.49

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Solution

The fourth proportional to 25,706.90, 38,563.43 and 9,063.49 is: 13,596.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,706.90 : 38,563.43 = 9,063.49 : x
  2. Step 2: Convert to fraction form
    25,706.90/38,563.43 = 9,063.49/x
  3. Step 3: Cross multiply
    25,706.90x = 38,563.43 × 9,063.49
  4. Step 4: Simplify right side
    25,706.90x = 349,519,262.17
  5. Step 5: Solve for x
    x = 349,519,262.17/25,706.90
  6. Step 6: Final answer
    x = 13,596.32

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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.