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Finding the Fourth Proportional to 13,451.48, 20,188.80 and 7,216.16

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Solution

The fourth proportional to 13,451.48, 20,188.80 and 7,216.16 is: 10,830.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,451.48 : 20,188.80 = 7,216.16 : x
  2. Step 2: Convert to fraction form
    13,451.48/20,188.80 = 7,216.16/x
  3. Step 3: Cross multiply
    13,451.48x = 20,188.80 × 7,216.16
  4. Step 4: Simplify right side
    13,451.48x = 145,685,611.01
  5. Step 5: Solve for x
    x = 145,685,611.01/13,451.48
  6. Step 6: Final answer
    x = 10,830.45

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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.