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Finding the Fourth Proportional to 25,725.39, 38,602.86 and 13,879.14

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Solution

The fourth proportional to 25,725.39, 38,602.86 and 13,879.14 is: 20,826.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,725.39 : 38,602.86 = 13,879.14 : x
  2. Step 2: Convert to fraction form
    25,725.39/38,602.86 = 13,879.14/x
  3. Step 3: Cross multiply
    25,725.39x = 38,602.86 × 13,879.14
  4. Step 4: Simplify right side
    25,725.39x = 535,774,498.34
  5. Step 5: Solve for x
    x = 535,774,498.34/25,725.39
  6. Step 6: Final answer
    x = 20,826.68

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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.