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Finding the Fourth Proportional to 25,348.56, 38,022.90 and 14,953

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Solution

The fourth proportional to 25,348.56, 38,022.90 and 14,953 is: 22,429.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,348.56 : 38,022.90 = 14,953 : x
  2. Step 2: Convert to fraction form
    25,348.56/38,022.90 = 14,953/x
  3. Step 3: Cross multiply
    25,348.56x = 38,022.90 × 14,953
  4. Step 4: Simplify right side
    25,348.56x = 568,556,423.70
  5. Step 5: Solve for x
    x = 568,556,423.70/25,348.56
  6. Step 6: Final answer
    x = 22,429.54

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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.