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Finding the Fourth Proportional to 20,507.94, 30,752.28 and 12,189.06

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Solution

The fourth proportional to 20,507.94, 30,752.28 and 12,189.06 is: 18,277.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,507.94 : 30,752.28 = 12,189.06 : x
  2. Step 2: Convert to fraction form
    20,507.94/30,752.28 = 12,189.06/x
  3. Step 3: Cross multiply
    20,507.94x = 30,752.28 × 12,189.06
  4. Step 4: Simplify right side
    20,507.94x = 374,841,386.06
  5. Step 5: Solve for x
    x = 374,841,386.06/20,507.94
  6. Step 6: Final answer
    x = 18,277.87

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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.