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Finding the Fourth Proportional to 12,750, 19,132.56 and 5,825.04

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Solution

The fourth proportional to 12,750, 19,132.56 and 5,825.04 is: 8,741.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,750 : 19,132.56 = 5,825.04 : x
  2. Step 2: Convert to fraction form
    12,750/19,132.56 = 5,825.04/x
  3. Step 3: Cross multiply
    12,750x = 19,132.56 × 5,825.04
  4. Step 4: Simplify right side
    12,750x = 111,447,927.30
  5. Step 5: Solve for x
    x = 111,447,927.30/12,750
  6. Step 6: Final answer
    x = 8,741.01

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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.