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Finding the Fourth Proportional to 20,509.85, 28,303.59 and 11,078.41

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Solution

The fourth proportional to 20,509.85, 28,303.59 and 11,078.41 is: 15,288.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,509.85 : 28,303.59 = 11,078.41 : x
  2. Step 2: Convert to fraction form
    20,509.85/28,303.59 = 11,078.41/x
  3. Step 3: Cross multiply
    20,509.85x = 28,303.59 × 11,078.41
  4. Step 4: Simplify right side
    20,509.85x = 313,558,774.49
  5. Step 5: Solve for x
    x = 313,558,774.49/20,509.85
  6. Step 6: Final answer
    x = 15,288.20

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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.