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Finding the Fourth Proportional to 23,129.69, 31,919.06 and 13,697.64

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Solution

The fourth proportional to 23,129.69, 31,919.06 and 13,697.64 is: 18,902.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,129.69 : 31,919.06 = 13,697.64 : x
  2. Step 2: Convert to fraction form
    23,129.69/31,919.06 = 13,697.64/x
  3. Step 3: Cross multiply
    23,129.69x = 31,919.06 × 13,697.64
  4. Step 4: Simplify right side
    23,129.69x = 437,215,827.26
  5. Step 5: Solve for x
    x = 437,215,827.26/23,129.69
  6. Step 6: Final answer
    x = 18,902.80

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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.