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Finding the Fourth Proportional to 13,642.40, 20,474.76 and 7,070.56

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Solution

The fourth proportional to 13,642.40, 20,474.76 and 7,070.56 is: 10,611.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.40 : 20,474.76 = 7,070.56 : x
  2. Step 2: Convert to fraction form
    13,642.40/20,474.76 = 7,070.56/x
  3. Step 3: Cross multiply
    13,642.40x = 20,474.76 × 7,070.56
  4. Step 4: Simplify right side
    13,642.40x = 144,768,019.07
  5. Step 5: Solve for x
    x = 144,768,019.07/13,642.40
  6. Step 6: Final answer
    x = 10,611.62

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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.