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Finding the Fourth Proportional to 25,191.36, 37,735.20 and 14,778

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Solution

The fourth proportional to 25,191.36, 37,735.20 and 14,778 is: 22,136.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,191.36 : 37,735.20 = 14,778 : x
  2. Step 2: Convert to fraction form
    25,191.36/37,735.20 = 14,778/x
  3. Step 3: Cross multiply
    25,191.36x = 37,735.20 × 14,778
  4. Step 4: Simplify right side
    25,191.36x = 557,650,785.60
  5. Step 5: Solve for x
    x = 557,650,785.60/25,191.36
  6. Step 6: Final answer
    x = 22,136.59

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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.