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Finding the Fourth Proportional to 13,809.16, 20,682.86 and 9,901.72

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Solution

The fourth proportional to 13,809.16, 20,682.86 and 9,901.72 is: 14,830.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,809.16 : 20,682.86 = 9,901.72 : x
  2. Step 2: Convert to fraction form
    13,809.16/20,682.86 = 9,901.72/x
  3. Step 3: Cross multiply
    13,809.16x = 20,682.86 × 9,901.72
  4. Step 4: Simplify right side
    13,809.16x = 204,795,888.52
  5. Step 5: Solve for x
    x = 204,795,888.52/13,809.16
  6. Step 6: Final answer
    x = 14,830.44

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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.