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Finding the Fourth Proportional to 16,352.78, 24,534.70 and 8,033.00

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Solution

The fourth proportional to 16,352.78, 24,534.70 and 8,033.00 is: 12,052.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,352.78 : 24,534.70 = 8,033.00 : x
  2. Step 2: Convert to fraction form
    16,352.78/24,534.70 = 8,033.00/x
  3. Step 3: Cross multiply
    16,352.78x = 24,534.70 × 8,033.00
  4. Step 4: Simplify right side
    16,352.78x = 197,087,102.34
  5. Step 5: Solve for x
    x = 197,087,102.34/16,352.78
  6. Step 6: Final answer
    x = 12,052.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.