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Finding the Fourth Proportional to 12,664.01, 18,983.04 and 6,412.43

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Solution

The fourth proportional to 12,664.01, 18,983.04 and 6,412.43 is: 9,612.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,664.01 : 18,983.04 = 6,412.43 : x
  2. Step 2: Convert to fraction form
    12,664.01/18,983.04 = 6,412.43/x
  3. Step 3: Cross multiply
    12,664.01x = 18,983.04 × 6,412.43
  4. Step 4: Simplify right side
    12,664.01x = 121,727,415.19
  5. Step 5: Solve for x
    x = 121,727,415.19/12,664.01
  6. Step 6: Final answer
    x = 9,612.08

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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.