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Finding the Fourth Proportional to 25,666.89, 38,501.70 and 8,138.08

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Solution

The fourth proportional to 25,666.89, 38,501.70 and 8,138.08 is: 12,207.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,666.89 : 38,501.70 = 8,138.08 : x
  2. Step 2: Convert to fraction form
    25,666.89/38,501.70 = 8,138.08/x
  3. Step 3: Cross multiply
    25,666.89x = 38,501.70 × 8,138.08
  4. Step 4: Simplify right side
    25,666.89x = 313,329,932.35
  5. Step 5: Solve for x
    x = 313,329,932.35/25,666.89
  6. Step 6: Final answer
    x = 12,207.56

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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.