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Finding the Fourth Proportional to 12,833.96, 17,705.89 and 7,526.84

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Solution

The fourth proportional to 12,833.96, 17,705.89 and 7,526.84 is: 10,384.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,833.96 : 17,705.89 = 7,526.84 : x
  2. Step 2: Convert to fraction form
    12,833.96/17,705.89 = 7,526.84/x
  3. Step 3: Cross multiply
    12,833.96x = 17,705.89 × 7,526.84
  4. Step 4: Simplify right side
    12,833.96x = 133,269,401.09
  5. Step 5: Solve for x
    x = 133,269,401.09/12,833.96
  6. Step 6: Final answer
    x = 10,384.12

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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.