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Finding the Fourth Proportional to 20,507.58, 28,300.90 and 11,433.50

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Solution

The fourth proportional to 20,507.58, 28,300.90 and 11,433.50 is: 15,778.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,507.58 : 28,300.90 = 11,433.50 : x
  2. Step 2: Convert to fraction form
    20,507.58/28,300.90 = 11,433.50/x
  3. Step 3: Cross multiply
    20,507.58x = 28,300.90 × 11,433.50
  4. Step 4: Simplify right side
    20,507.58x = 323,578,340.15
  5. Step 5: Solve for x
    x = 323,578,340.15/20,507.58
  6. Step 6: Final answer
    x = 15,778.48

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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.