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Finding the Fourth Proportional to 25,431.36, 38,139.75 and 7,663.74

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Solution

The fourth proportional to 25,431.36, 38,139.75 and 7,663.74 is: 11,493.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,431.36 : 38,139.75 = 7,663.74 : x
  2. Step 2: Convert to fraction form
    25,431.36/38,139.75 = 7,663.74/x
  3. Step 3: Cross multiply
    25,431.36x = 38,139.75 × 7,663.74
  4. Step 4: Simplify right side
    25,431.36x = 292,293,127.67
  5. Step 5: Solve for x
    x = 292,293,127.67/25,431.36
  6. Step 6: Final answer
    x = 11,493.41

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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.