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Finding the Fourth Proportional to 13,703.56, 20,522.22 and 7,842.40

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Solution

The fourth proportional to 13,703.56, 20,522.22 and 7,842.40 is: 11,744.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,703.56 : 20,522.22 = 7,842.40 : x
  2. Step 2: Convert to fraction form
    13,703.56/20,522.22 = 7,842.40/x
  3. Step 3: Cross multiply
    13,703.56x = 20,522.22 × 7,842.40
  4. Step 4: Simplify right side
    13,703.56x = 160,943,458.13
  5. Step 5: Solve for x
    x = 160,943,458.13/13,703.56
  6. Step 6: Final answer
    x = 11,744.65

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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.