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Finding the Fourth Proportional to 13,035.04, 17,990.84 and 7,732.78

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Solution

The fourth proportional to 13,035.04, 17,990.84 and 7,732.78 is: 10,672.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,035.04 : 17,990.84 = 7,732.78 : x
  2. Step 2: Convert to fraction form
    13,035.04/17,990.84 = 7,732.78/x
  3. Step 3: Cross multiply
    13,035.04x = 17,990.84 × 7,732.78
  4. Step 4: Simplify right side
    13,035.04x = 139,119,182.09
  5. Step 5: Solve for x
    x = 139,119,182.09/13,035.04
  6. Step 6: Final answer
    x = 10,672.71

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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.