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Finding the Fourth Proportional to 32,004.09, 44,164.04 and 17,854.20

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Solution

The fourth proportional to 32,004.09, 44,164.04 and 17,854.20 is: 24,637.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,004.09 : 44,164.04 = 17,854.20 : x
  2. Step 2: Convert to fraction form
    32,004.09/44,164.04 = 17,854.20/x
  3. Step 3: Cross multiply
    32,004.09x = 44,164.04 × 17,854.20
  4. Step 4: Simplify right side
    32,004.09x = 788,513,513.70
  5. Step 5: Solve for x
    x = 788,513,513.70/32,004.09
  6. Step 6: Final answer
    x = 24,637.90

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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.