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Finding the Fourth Proportional to 32,614.86, 45,009.09 and 18,470.64

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Solution

The fourth proportional to 32,614.86, 45,009.09 and 18,470.64 is: 25,489.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,614.86 : 45,009.09 = 18,470.64 : x
  2. Step 2: Convert to fraction form
    32,614.86/45,009.09 = 18,470.64/x
  3. Step 3: Cross multiply
    32,614.86x = 45,009.09 × 18,470.64
  4. Step 4: Simplify right side
    32,614.86x = 831,346,698.12
  5. Step 5: Solve for x
    x = 831,346,698.12/32,614.86
  6. Step 6: Final answer
    x = 25,489.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.