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Finding the Fourth Proportional to 25,045, 37,580.46 and 12,733

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Solution

The fourth proportional to 25,045, 37,580.46 and 12,733 is: 19,106.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,045 : 37,580.46 = 12,733 : x
  2. Step 2: Convert to fraction form
    25,045/37,580.46 = 12,733/x
  3. Step 3: Cross multiply
    25,045x = 37,580.46 × 12,733
  4. Step 4: Simplify right side
    25,045x = 478,511,997.18
  5. Step 5: Solve for x
    x = 478,511,997.18/25,045
  6. Step 6: Final answer
    x = 19,106.09

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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.