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Finding the Fourth Proportional to 12,305.16, 18,420.08 and 9,943.20

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Solution

The fourth proportional to 12,305.16, 18,420.08 and 9,943.20 is: 14,884.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305.16 : 18,420.08 = 9,943.20 : x
  2. Step 2: Convert to fraction form
    12,305.16/18,420.08 = 9,943.20/x
  3. Step 3: Cross multiply
    12,305.16x = 18,420.08 × 9,943.20
  4. Step 4: Simplify right side
    12,305.16x = 183,154,489.74
  5. Step 5: Solve for x
    x = 183,154,489.74/12,305.16
  6. Step 6: Final answer
    x = 14,884.36

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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.