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Finding the Fourth Proportional to 16,022.78, 24,048.93 and 8,130.84

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Solution

The fourth proportional to 16,022.78, 24,048.93 and 8,130.84 is: 12,203.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,022.78 : 24,048.93 = 8,130.84 : x
  2. Step 2: Convert to fraction form
    16,022.78/24,048.93 = 8,130.84/x
  3. Step 3: Cross multiply
    16,022.78x = 24,048.93 × 8,130.84
  4. Step 4: Simplify right side
    16,022.78x = 195,538,002.00
  5. Step 5: Solve for x
    x = 195,538,002.00/16,022.78
  6. Step 6: Final answer
    x = 12,203.75

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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.