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Finding the Fourth Proportional to 25,174.99, 34,740.15 and 14,564.80

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Solution

The fourth proportional to 25,174.99, 34,740.15 and 14,564.80 is: 20,098.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,174.99 : 34,740.15 = 14,564.80 : x
  2. Step 2: Convert to fraction form
    25,174.99/34,740.15 = 14,564.80/x
  3. Step 3: Cross multiply
    25,174.99x = 34,740.15 × 14,564.80
  4. Step 4: Simplify right side
    25,174.99x = 505,983,336.72
  5. Step 5: Solve for x
    x = 505,983,336.72/25,174.99
  6. Step 6: Final answer
    x = 20,098.65

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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.