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Finding the Fourth Proportional to 16,380.63, 24,534.02 and 9,792.99

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Solution

The fourth proportional to 16,380.63, 24,534.02 and 9,792.99 is: 14,667.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,380.63 : 24,534.02 = 9,792.99 : x
  2. Step 2: Convert to fraction form
    16,380.63/24,534.02 = 9,792.99/x
  3. Step 3: Cross multiply
    16,380.63x = 24,534.02 × 9,792.99
  4. Step 4: Simplify right side
    16,380.63x = 240,261,437.00
  5. Step 5: Solve for x
    x = 240,261,437.00/16,380.63
  6. Step 6: Final answer
    x = 14,667.41

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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.