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Finding the Fourth Proportional to 14,813.49, 20,451.02 and 9,792.30

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Solution

The fourth proportional to 14,813.49, 20,451.02 and 9,792.30 is: 13,518.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,813.49 : 20,451.02 = 9,792.30 : x
  2. Step 2: Convert to fraction form
    14,813.49/20,451.02 = 9,792.30/x
  3. Step 3: Cross multiply
    14,813.49x = 20,451.02 × 9,792.30
  4. Step 4: Simplify right side
    14,813.49x = 200,262,523.15
  5. Step 5: Solve for x
    x = 200,262,523.15/14,813.49
  6. Step 6: Final answer
    x = 13,518.93

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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.