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Finding the Fourth Proportional to 18,452.68, 25,464.54 and 10,069

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Solution

The fourth proportional to 18,452.68, 25,464.54 and 10,069 is: 13,895.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,452.68 : 25,464.54 = 10,069 : x
  2. Step 2: Convert to fraction form
    18,452.68/25,464.54 = 10,069/x
  3. Step 3: Cross multiply
    18,452.68x = 25,464.54 × 10,069
  4. Step 4: Simplify right side
    18,452.68x = 256,402,453.26
  5. Step 5: Solve for x
    x = 256,402,453.26/18,452.68
  6. Step 6: Final answer
    x = 13,895.13

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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.