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Finding the Fourth Proportional to 12,129.48, 16,738.32 and 7,352.25

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Solution

The fourth proportional to 12,129.48, 16,738.32 and 7,352.25 is: 10,145.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129.48 : 16,738.32 = 7,352.25 : x
  2. Step 2: Convert to fraction form
    12,129.48/16,738.32 = 7,352.25/x
  3. Step 3: Cross multiply
    12,129.48x = 16,738.32 × 7,352.25
  4. Step 4: Simplify right side
    12,129.48x = 123,064,313.22
  5. Step 5: Solve for x
    x = 123,064,313.22/12,129.48
  6. Step 6: Final answer
    x = 10,145.89

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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.