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Finding the Fourth Proportional to 25,686.45, 38,511.45 and 11,653.20

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Solution

The fourth proportional to 25,686.45, 38,511.45 and 11,653.20 is: 17,471.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,686.45 : 38,511.45 = 11,653.20 : x
  2. Step 2: Convert to fraction form
    25,686.45/38,511.45 = 11,653.20/x
  3. Step 3: Cross multiply
    25,686.45x = 38,511.45 × 11,653.20
  4. Step 4: Simplify right side
    25,686.45x = 448,781,629.14
  5. Step 5: Solve for x
    x = 448,781,629.14/25,686.45
  6. Step 6: Final answer
    x = 17,471.53

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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.