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Finding the Fourth Proportional to 25,673.32, 35,429.70 and 14,493.16

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Solution

The fourth proportional to 25,673.32, 35,429.70 and 14,493.16 is: 20,000.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,673.32 : 35,429.70 = 14,493.16 : x
  2. Step 2: Convert to fraction form
    25,673.32/35,429.70 = 14,493.16/x
  3. Step 3: Cross multiply
    25,673.32x = 35,429.70 × 14,493.16
  4. Step 4: Simplify right side
    25,673.32x = 513,488,310.85
  5. Step 5: Solve for x
    x = 513,488,310.85/25,673.32
  6. Step 6: Final answer
    x = 20,000.85

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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.