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Finding the Fourth Proportional to 25,814.19, 38,725.34 and 11,023.19

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Solution

The fourth proportional to 25,814.19, 38,725.34 and 11,023.19 is: 16,536.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,814.19 : 38,725.34 = 11,023.19 : x
  2. Step 2: Convert to fraction form
    25,814.19/38,725.34 = 11,023.19/x
  3. Step 3: Cross multiply
    25,814.19x = 38,725.34 × 11,023.19
  4. Step 4: Simplify right side
    25,814.19x = 426,876,780.63
  5. Step 5: Solve for x
    x = 426,876,780.63/25,814.19
  6. Step 6: Final answer
    x = 16,536.52

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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.