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Finding the Fourth Proportional to 25,381.66, 38,072.50 and 7,851.10

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Solution

The fourth proportional to 25,381.66, 38,072.50 and 7,851.10 is: 11,776.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,381.66 : 38,072.50 = 7,851.10 : x
  2. Step 2: Convert to fraction form
    25,381.66/38,072.50 = 7,851.10/x
  3. Step 3: Cross multiply
    25,381.66x = 38,072.50 × 7,851.10
  4. Step 4: Simplify right side
    25,381.66x = 298,911,004.75
  5. Step 5: Solve for x
    x = 298,911,004.75/25,381.66
  6. Step 6: Final answer
    x = 11,776.65

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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.