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Finding the Fourth Proportional to 27,138.84, 37,447.25 and 15,202.68

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Solution

The fourth proportional to 27,138.84, 37,447.25 and 15,202.68 is: 20,977.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,138.84 : 37,447.25 = 15,202.68 : x
  2. Step 2: Convert to fraction form
    27,138.84/37,447.25 = 15,202.68/x
  3. Step 3: Cross multiply
    27,138.84x = 37,447.25 × 15,202.68
  4. Step 4: Simplify right side
    27,138.84x = 569,298,482.62
  5. Step 5: Solve for x
    x = 569,298,482.62/27,138.84
  6. Step 6: Final answer
    x = 20,977.26

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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.