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Finding the Fourth Proportional to 12,839.67, 17,718.86 and 7,534.57

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Solution

The fourth proportional to 12,839.67, 17,718.86 and 7,534.57 is: 10,397.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,839.67 : 17,718.86 = 7,534.57 : x
  2. Step 2: Convert to fraction form
    12,839.67/17,718.86 = 7,534.57/x
  3. Step 3: Cross multiply
    12,839.67x = 17,718.86 × 7,534.57
  4. Step 4: Simplify right side
    12,839.67x = 133,503,990.99
  5. Step 5: Solve for x
    x = 133,503,990.99/12,839.67
  6. Step 6: Final answer
    x = 10,397.77

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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.