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Finding the Fourth Proportional to 13,599.42, 20,382.90 and 5,275.08

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Solution

The fourth proportional to 13,599.42, 20,382.90 and 5,275.08 is: 7,906.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,599.42 : 20,382.90 = 5,275.08 : x
  2. Step 2: Convert to fraction form
    13,599.42/20,382.90 = 5,275.08/x
  3. Step 3: Cross multiply
    13,599.42x = 20,382.90 × 5,275.08
  4. Step 4: Simplify right side
    13,599.42x = 107,521,428.13
  5. Step 5: Solve for x
    x = 107,521,428.13/13,599.42
  6. Step 6: Final answer
    x = 7,906.32

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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.