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Finding the Fourth Proportional to 25,532.40, 35,234.76 and 14,202.60

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Solution

The fourth proportional to 25,532.40, 35,234.76 and 14,202.60 is: 19,599.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,532.40 : 35,234.76 = 14,202.60 : x
  2. Step 2: Convert to fraction form
    25,532.40/35,234.76 = 14,202.60/x
  3. Step 3: Cross multiply
    25,532.40x = 35,234.76 × 14,202.60
  4. Step 4: Simplify right side
    25,532.40x = 500,425,202.38
  5. Step 5: Solve for x
    x = 500,425,202.38/25,532.40
  6. Step 6: Final answer
    x = 19,599.61

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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.