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Finding the Fourth Proportional to 16,147.46, 24,178.06 and 9,478.43

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Solution

The fourth proportional to 16,147.46, 24,178.06 and 9,478.43 is: 14,192.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,147.46 : 24,178.06 = 9,478.43 : x
  2. Step 2: Convert to fraction form
    16,147.46/24,178.06 = 9,478.43/x
  3. Step 3: Cross multiply
    16,147.46x = 24,178.06 × 9,478.43
  4. Step 4: Simplify right side
    16,147.46x = 229,170,030.87
  5. Step 5: Solve for x
    x = 229,170,030.87/16,147.46
  6. Step 6: Final answer
    x = 14,192.32

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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.