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Finding the Fourth Proportional to 25,072.68, 34,598.10 and 13,742

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Solution

The fourth proportional to 25,072.68, 34,598.10 and 13,742 is: 18,962.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,072.68 : 34,598.10 = 13,742 : x
  2. Step 2: Convert to fraction form
    25,072.68/34,598.10 = 13,742/x
  3. Step 3: Cross multiply
    25,072.68x = 34,598.10 × 13,742
  4. Step 4: Simplify right side
    25,072.68x = 475,447,090.20
  5. Step 5: Solve for x
    x = 475,447,090.20/25,072.68
  6. Step 6: Final answer
    x = 18,962.76

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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.