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Finding the Fourth Proportional to 13,606.30, 20,420.38 and 7,034.40

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Solution

The fourth proportional to 13,606.30, 20,420.38 and 7,034.40 is: 10,557.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,606.30 : 20,420.38 = 7,034.40 : x
  2. Step 2: Convert to fraction form
    13,606.30/20,420.38 = 7,034.40/x
  3. Step 3: Cross multiply
    13,606.30x = 20,420.38 × 7,034.40
  4. Step 4: Simplify right side
    13,606.30x = 143,645,121.07
  5. Step 5: Solve for x
    x = 143,645,121.07/13,606.30
  6. Step 6: Final answer
    x = 10,557.25

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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.