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Finding the Fourth Proportional to 18,204.16, 27,312.80 and 9,444.80

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Solution

The fourth proportional to 18,204.16, 27,312.80 and 9,444.80 is: 14,170.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,204.16 : 27,312.80 = 9,444.80 : x
  2. Step 2: Convert to fraction form
    18,204.16/27,312.80 = 9,444.80/x
  3. Step 3: Cross multiply
    18,204.16x = 27,312.80 × 9,444.80
  4. Step 4: Simplify right side
    18,204.16x = 257,963,933.44
  5. Step 5: Solve for x
    x = 257,963,933.44/18,204.16
  6. Step 6: Final answer
    x = 14,170.60

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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.