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Finding the Fourth Proportional to 12,265.72, 16,894.46 and 9,427.67

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Solution

The fourth proportional to 12,265.72, 16,894.46 and 9,427.67 is: 12,985.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,265.72 : 16,894.46 = 9,427.67 : x
  2. Step 2: Convert to fraction form
    12,265.72/16,894.46 = 9,427.67/x
  3. Step 3: Cross multiply
    12,265.72x = 16,894.46 × 9,427.67
  4. Step 4: Simplify right side
    12,265.72x = 159,275,393.71
  5. Step 5: Solve for x
    x = 159,275,393.71/12,265.72
  6. Step 6: Final answer
    x = 12,985.41

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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.