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Finding the Fourth Proportional to 25,856.34, 38,784.60 and 7,136.70

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Solution

The fourth proportional to 25,856.34, 38,784.60 and 7,136.70 is: 10,705.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,856.34 : 38,784.60 = 7,136.70 : x
  2. Step 2: Convert to fraction form
    25,856.34/38,784.60 = 7,136.70/x
  3. Step 3: Cross multiply
    25,856.34x = 38,784.60 × 7,136.70
  4. Step 4: Simplify right side
    25,856.34x = 276,794,054.82
  5. Step 5: Solve for x
    x = 276,794,054.82/25,856.34
  6. Step 6: Final answer
    x = 10,705.07

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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.