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Finding the Fourth Proportional to 25,832.39, 38,748.72 and 9,193.07

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Solution

The fourth proportional to 25,832.39, 38,748.72 and 9,193.07 is: 13,789.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,832.39 : 38,748.72 = 9,193.07 : x
  2. Step 2: Convert to fraction form
    25,832.39/38,748.72 = 9,193.07/x
  3. Step 3: Cross multiply
    25,832.39x = 38,748.72 × 9,193.07
  4. Step 4: Simplify right side
    25,832.39x = 356,219,501.63
  5. Step 5: Solve for x
    x = 356,219,501.63/25,832.39
  6. Step 6: Final answer
    x = 13,789.65

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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.