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Finding the Fourth Proportional to 12,723.75, 17,558.78 and 7,417.54

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Solution

The fourth proportional to 12,723.75, 17,558.78 and 7,417.54 is: 10,236.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,723.75 : 17,558.78 = 7,417.54 : x
  2. Step 2: Convert to fraction form
    12,723.75/17,558.78 = 7,417.54/x
  3. Step 3: Cross multiply
    12,723.75x = 17,558.78 × 7,417.54
  4. Step 4: Simplify right side
    12,723.75x = 130,242,937.86
  5. Step 5: Solve for x
    x = 130,242,937.86/12,723.75
  6. Step 6: Final answer
    x = 10,236.21

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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.