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Finding the Fourth Proportional to 12,373.29, 18,540.50 and 9,569.07

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Solution

The fourth proportional to 12,373.29, 18,540.50 and 9,569.07 is: 14,338.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,373.29 : 18,540.50 = 9,569.07 : x
  2. Step 2: Convert to fraction form
    12,373.29/18,540.50 = 9,569.07/x
  3. Step 3: Cross multiply
    12,373.29x = 18,540.50 × 9,569.07
  4. Step 4: Simplify right side
    12,373.29x = 177,415,294.49
  5. Step 5: Solve for x
    x = 177,415,294.49/12,373.29
  6. Step 6: Final answer
    x = 14,338.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.