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Finding the Fourth Proportional to 12,153.98, 16,770.12 and 7,434.92

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Solution

The fourth proportional to 12,153.98, 16,770.12 and 7,434.92 is: 10,258.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,153.98 : 16,770.12 = 7,434.92 : x
  2. Step 2: Convert to fraction form
    12,153.98/16,770.12 = 7,434.92/x
  3. Step 3: Cross multiply
    12,153.98x = 16,770.12 × 7,434.92
  4. Step 4: Simplify right side
    12,153.98x = 124,684,500.59
  5. Step 5: Solve for x
    x = 124,684,500.59/12,153.98
  6. Step 6: Final answer
    x = 10,258.74

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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.