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Finding the Fourth Proportional to 25,939.14, 38,920.86 and 12,784.34

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Solution

The fourth proportional to 25,939.14, 38,920.86 and 12,784.34 is: 19,182.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,939.14 : 38,920.86 = 12,784.34 : x
  2. Step 2: Convert to fraction form
    25,939.14/38,920.86 = 12,784.34/x
  3. Step 3: Cross multiply
    25,939.14x = 38,920.86 × 12,784.34
  4. Step 4: Simplify right side
    25,939.14x = 497,577,312.73
  5. Step 5: Solve for x
    x = 497,577,312.73/25,939.14
  6. Step 6: Final answer
    x = 19,182.49

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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.