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Finding the Fourth Proportional to 23,000.35, 31,737.63 and 13,311.47

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Solution

The fourth proportional to 23,000.35, 31,737.63 and 13,311.47 is: 18,368.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,000.35 : 31,737.63 = 13,311.47 : x
  2. Step 2: Convert to fraction form
    23,000.35/31,737.63 = 13,311.47/x
  3. Step 3: Cross multiply
    23,000.35x = 31,737.63 × 13,311.47
  4. Step 4: Simplify right side
    23,000.35x = 422,474,509.62
  5. Step 5: Solve for x
    x = 422,474,509.62/23,000.35
  6. Step 6: Final answer
    x = 18,368.18

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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.