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Finding the Fourth Proportional to 12,733.67, 17,581.02 and 9,744.16

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Solution

The fourth proportional to 12,733.67, 17,581.02 and 9,744.16 is: 13,453.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,733.67 : 17,581.02 = 9,744.16 : x
  2. Step 2: Convert to fraction form
    12,733.67/17,581.02 = 9,744.16/x
  3. Step 3: Cross multiply
    12,733.67x = 17,581.02 × 9,744.16
  4. Step 4: Simplify right side
    12,733.67x = 171,312,271.84
  5. Step 5: Solve for x
    x = 171,312,271.84/12,733.67
  6. Step 6: Final answer
    x = 13,453.49

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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.