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Finding the Fourth Proportional to 25,706.35, 38,562.36 and 8,172.08

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Solution

The fourth proportional to 25,706.35, 38,562.36 and 8,172.08 is: 12,259.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,706.35 : 38,562.36 = 8,172.08 : x
  2. Step 2: Convert to fraction form
    25,706.35/38,562.36 = 8,172.08/x
  3. Step 3: Cross multiply
    25,706.35x = 38,562.36 × 8,172.08
  4. Step 4: Simplify right side
    25,706.35x = 315,134,690.91
  5. Step 5: Solve for x
    x = 315,134,690.91/25,706.35
  6. Step 6: Final answer
    x = 12,259.02

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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.