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Finding the Fourth Proportional to 23,843.40, 32,893.62 and 14,406.50

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Solution

The fourth proportional to 23,843.40, 32,893.62 and 14,406.50 is: 19,874.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,843.40 : 32,893.62 = 14,406.50 : x
  2. Step 2: Convert to fraction form
    23,843.40/32,893.62 = 14,406.50/x
  3. Step 3: Cross multiply
    23,843.40x = 32,893.62 × 14,406.50
  4. Step 4: Simplify right side
    23,843.40x = 473,881,936.53
  5. Step 5: Solve for x
    x = 473,881,936.53/23,843.40
  6. Step 6: Final answer
    x = 19,874.76

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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.