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Finding the Fourth Proportional to 25,740, 35,520.96 and 14,562

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Solution

The fourth proportional to 25,740, 35,520.96 and 14,562 is: 20,095.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,740 : 35,520.96 = 14,562 : x
  2. Step 2: Convert to fraction form
    25,740/35,520.96 = 14,562/x
  3. Step 3: Cross multiply
    25,740x = 35,520.96 × 14,562
  4. Step 4: Simplify right side
    25,740x = 517,256,219.52
  5. Step 5: Solve for x
    x = 517,256,219.52/25,740
  6. Step 6: Final answer
    x = 20,095.42

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Why These Related Problems?

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