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Finding the Fourth Proportional to 25,482, 38,224.44 and 9,066

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Solution

The fourth proportional to 25,482, 38,224.44 and 9,066 is: 13,599.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,482 : 38,224.44 = 9,066 : x
  2. Step 2: Convert to fraction form
    25,482/38,224.44 = 9,066/x
  3. Step 3: Cross multiply
    25,482x = 38,224.44 × 9,066
  4. Step 4: Simplify right side
    25,482x = 346,542,773.04
  5. Step 5: Solve for x
    x = 346,542,773.04/25,482
  6. Step 6: Final answer
    x = 13,599.51

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Why These Related Problems?

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