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Finding the Fourth Proportional to 25,205.10, 37,846.05 and 19,368.30

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Solution

The fourth proportional to 25,205.10, 37,846.05 and 19,368.30 is: 29,081.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,205.10 : 37,846.05 = 19,368.30 : x
  2. Step 2: Convert to fraction form
    25,205.10/37,846.05 = 19,368.30/x
  3. Step 3: Cross multiply
    25,205.10x = 37,846.05 × 19,368.30
  4. Step 4: Simplify right side
    25,205.10x = 733,013,650.22
  5. Step 5: Solve for x
    x = 733,013,650.22/25,205.10
  6. Step 6: Final answer
    x = 29,081.96

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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.