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Finding the Fourth Proportional to 25,123.84, 37,673.60 and 8,480.64

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Solution

The fourth proportional to 25,123.84, 37,673.60 and 8,480.64 is: 12,716.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,123.84 : 37,673.60 = 8,480.64 : x
  2. Step 2: Convert to fraction form
    25,123.84/37,673.60 = 8,480.64/x
  3. Step 3: Cross multiply
    25,123.84x = 37,673.60 × 8,480.64
  4. Step 4: Simplify right side
    25,123.84x = 319,496,239.10
  5. Step 5: Solve for x
    x = 319,496,239.10/25,123.84
  6. Step 6: Final answer
    x = 12,716.86

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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.