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Finding the Fourth Proportional to 25,301.61, 37,958.90 and 8,661.78

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Solution

The fourth proportional to 25,301.61, 37,958.90 and 8,661.78 is: 12,994.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,301.61 : 37,958.90 = 8,661.78 : x
  2. Step 2: Convert to fraction form
    25,301.61/37,958.90 = 8,661.78/x
  3. Step 3: Cross multiply
    25,301.61x = 37,958.90 × 8,661.78
  4. Step 4: Simplify right side
    25,301.61x = 328,791,662.50
  5. Step 5: Solve for x
    x = 328,791,662.50/25,301.61
  6. Step 6: Final answer
    x = 12,994.89

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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.