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Finding the Fourth Proportional to 25,477.13, 38,201.66 and 13,644.77

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Solution

The fourth proportional to 25,477.13, 38,201.66 and 13,644.77 is: 20,459.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,477.13 : 38,201.66 = 13,644.77 : x
  2. Step 2: Convert to fraction form
    25,477.13/38,201.66 = 13,644.77/x
  3. Step 3: Cross multiply
    25,477.13x = 38,201.66 × 13,644.77
  4. Step 4: Simplify right side
    25,477.13x = 521,252,605.09
  5. Step 5: Solve for x
    x = 521,252,605.09/25,477.13
  6. Step 6: Final answer
    x = 20,459.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.