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Finding the Fourth Proportional to 25,165.64, 37,720.79 and 10,366.49

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Solution

The fourth proportional to 25,165.64, 37,720.79 and 10,366.49 is: 15,538.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,165.64 : 37,720.79 = 10,366.49 : x
  2. Step 2: Convert to fraction form
    25,165.64/37,720.79 = 10,366.49/x
  3. Step 3: Cross multiply
    25,165.64x = 37,720.79 × 10,366.49
  4. Step 4: Simplify right side
    25,165.64x = 391,032,093.34
  5. Step 5: Solve for x
    x = 391,032,093.34/25,165.64
  6. Step 6: Final answer
    x = 15,538.33

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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.