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Finding the Fourth Proportional to 16,069.30, 24,078.03 and 8,254.42

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Solution

The fourth proportional to 16,069.30, 24,078.03 and 8,254.42 is: 12,368.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,069.30 : 24,078.03 = 8,254.42 : x
  2. Step 2: Convert to fraction form
    16,069.30/24,078.03 = 8,254.42/x
  3. Step 3: Cross multiply
    16,069.30x = 24,078.03 × 8,254.42
  4. Step 4: Simplify right side
    16,069.30x = 198,750,172.39
  5. Step 5: Solve for x
    x = 198,750,172.39/16,069.30
  6. Step 6: Final answer
    x = 12,368.32

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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.