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Finding the Fourth Proportional to 23,188.87, 32,000.64 and 13,117.09

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Solution

The fourth proportional to 23,188.87, 32,000.64 and 13,117.09 is: 18,101.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,188.87 : 32,000.64 = 13,117.09 : x
  2. Step 2: Convert to fraction form
    23,188.87/32,000.64 = 13,117.09/x
  3. Step 3: Cross multiply
    23,188.87x = 32,000.64 × 13,117.09
  4. Step 4: Simplify right side
    23,188.87x = 419,755,274.94
  5. Step 5: Solve for x
    x = 419,755,274.94/23,188.87
  6. Step 6: Final answer
    x = 18,101.58

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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.