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Finding the Fourth Proportional to 25,835.38, 35,654.88 and 14,505.62

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Solution

The fourth proportional to 25,835.38, 35,654.88 and 14,505.62 is: 20,018.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,835.38 : 35,654.88 = 14,505.62 : x
  2. Step 2: Convert to fraction form
    25,835.38/35,654.88 = 14,505.62/x
  3. Step 3: Cross multiply
    25,835.38x = 35,654.88 × 14,505.62
  4. Step 4: Simplify right side
    25,835.38x = 517,196,140.43
  5. Step 5: Solve for x
    x = 517,196,140.43/25,835.38
  6. Step 6: Final answer
    x = 20,018.91

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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.