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Finding the Fourth Proportional to 25,832.22, 38,748.05 and 8,302.06

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Solution

The fourth proportional to 25,832.22, 38,748.05 and 8,302.06 is: 12,453.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,832.22 : 38,748.05 = 8,302.06 : x
  2. Step 2: Convert to fraction form
    25,832.22/38,748.05 = 8,302.06/x
  3. Step 3: Cross multiply
    25,832.22x = 38,748.05 × 8,302.06
  4. Step 4: Simplify right side
    25,832.22x = 321,688,635.98
  5. Step 5: Solve for x
    x = 321,688,635.98/25,832.22
  6. Step 6: Final answer
    x = 12,453.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.