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Finding the Fourth Proportional to 23,503.64, 32,435.08 and 12,893.36

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Solution

The fourth proportional to 23,503.64, 32,435.08 and 12,893.36 is: 17,792.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,503.64 : 32,435.08 = 12,893.36 : x
  2. Step 2: Convert to fraction form
    23,503.64/32,435.08 = 12,893.36/x
  3. Step 3: Cross multiply
    23,503.64x = 32,435.08 × 12,893.36
  4. Step 4: Simplify right side
    23,503.64x = 418,197,163.07
  5. Step 5: Solve for x
    x = 418,197,163.07/23,503.64
  6. Step 6: Final answer
    x = 17,792.87

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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.