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Finding the Fourth Proportional to 25,096.72, 37,648.55 and 8,461.51

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Solution

The fourth proportional to 25,096.72, 37,648.55 and 8,461.51 is: 12,693.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,096.72 : 37,648.55 = 8,461.51 : x
  2. Step 2: Convert to fraction form
    25,096.72/37,648.55 = 8,461.51/x
  3. Step 3: Cross multiply
    25,096.72x = 37,648.55 × 8,461.51
  4. Step 4: Simplify right side
    25,096.72x = 318,563,461.75
  5. Step 5: Solve for x
    x = 318,563,461.75/25,096.72
  6. Step 6: Final answer
    x = 12,693.43

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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.