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Finding the Fourth Proportional to 22,580.86, 31,165.14 and 13,629.64

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Solution

The fourth proportional to 22,580.86, 31,165.14 and 13,629.64 is: 18,811.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,580.86 : 31,165.14 = 13,629.64 : x
  2. Step 2: Convert to fraction form
    22,580.86/31,165.14 = 13,629.64/x
  3. Step 3: Cross multiply
    22,580.86x = 31,165.14 × 13,629.64
  4. Step 4: Simplify right side
    22,580.86x = 424,769,638.75
  5. Step 5: Solve for x
    x = 424,769,638.75/22,580.86
  6. Step 6: Final answer
    x = 18,811.05

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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.