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Finding the Fourth Proportional to 25,602.13, 38,407.60 and 7,832.37

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Solution

The fourth proportional to 25,602.13, 38,407.60 and 7,832.37 is: 11,749.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,602.13 : 38,407.60 = 7,832.37 : x
  2. Step 2: Convert to fraction form
    25,602.13/38,407.60 = 7,832.37/x
  3. Step 3: Cross multiply
    25,602.13x = 38,407.60 × 7,832.37
  4. Step 4: Simplify right side
    25,602.13x = 300,822,341.97
  5. Step 5: Solve for x
    x = 300,822,341.97/25,602.13
  6. Step 6: Final answer
    x = 11,749.90

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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.