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Finding the Fourth Proportional to 13,423.06, 20,135.01 and 6,403.84

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Solution

The fourth proportional to 13,423.06, 20,135.01 and 6,403.84 is: 9,605.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,423.06 : 20,135.01 = 6,403.84 : x
  2. Step 2: Convert to fraction form
    13,423.06/20,135.01 = 6,403.84/x
  3. Step 3: Cross multiply
    13,423.06x = 20,135.01 × 6,403.84
  4. Step 4: Simplify right side
    13,423.06x = 128,941,382.44
  5. Step 5: Solve for x
    x = 128,941,382.44/13,423.06
  6. Step 6: Final answer
    x = 9,605.96

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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.