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Finding the Fourth Proportional to 20,509.62, 28,303.80 and 11,557.44

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Solution

The fourth proportional to 20,509.62, 28,303.80 and 11,557.44 is: 15,949.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,509.62 : 28,303.80 = 11,557.44 : x
  2. Step 2: Convert to fraction form
    20,509.62/28,303.80 = 11,557.44/x
  3. Step 3: Cross multiply
    20,509.62x = 28,303.80 × 11,557.44
  4. Step 4: Simplify right side
    20,509.62x = 327,119,470.27
  5. Step 5: Solve for x
    x = 327,119,470.27/20,509.62
  6. Step 6: Final answer
    x = 15,949.56

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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.