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Finding the Fourth Proportional to 25,511.34, 35,205.18 and 14,180.64

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Solution

The fourth proportional to 25,511.34, 35,205.18 and 14,180.64 is: 19,569.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,511.34 : 35,205.18 = 14,180.64 : x
  2. Step 2: Convert to fraction form
    25,511.34/35,205.18 = 14,180.64/x
  3. Step 3: Cross multiply
    25,511.34x = 35,205.18 × 14,180.64
  4. Step 4: Simplify right side
    25,511.34x = 499,231,983.72
  5. Step 5: Solve for x
    x = 499,231,983.72/25,511.34
  6. Step 6: Final answer
    x = 19,569.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.