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Finding the Fourth Proportional to 12,478.16, 18,730.20 and 9,192.80

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Solution

The fourth proportional to 12,478.16, 18,730.20 and 9,192.80 is: 13,798.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,478.16 : 18,730.20 = 9,192.80 : x
  2. Step 2: Convert to fraction form
    12,478.16/18,730.20 = 9,192.80/x
  3. Step 3: Cross multiply
    12,478.16x = 18,730.20 × 9,192.80
  4. Step 4: Simplify right side
    12,478.16x = 172,182,982.56
  5. Step 5: Solve for x
    x = 172,182,982.56/12,478.16
  6. Step 6: Final answer
    x = 13,798.75

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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.