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Finding the Fourth Proportional to 12,773.60, 17,626.80 and 7,468.16

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Solution

The fourth proportional to 12,773.60, 17,626.80 and 7,468.16 is: 10,305.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,773.60 : 17,626.80 = 7,468.16 : x
  2. Step 2: Convert to fraction form
    12,773.60/17,626.80 = 7,468.16/x
  3. Step 3: Cross multiply
    12,773.60x = 17,626.80 × 7,468.16
  4. Step 4: Simplify right side
    12,773.60x = 131,639,762.69
  5. Step 5: Solve for x
    x = 131,639,762.69/12,773.60
  6. Step 6: Final answer
    x = 10,305.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.