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Finding the Fourth Proportional to 23,506.31, 32,438.71 and 12,895.94

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Solution

The fourth proportional to 23,506.31, 32,438.71 and 12,895.94 is: 17,796.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,506.31 : 32,438.71 = 12,895.94 : x
  2. Step 2: Convert to fraction form
    23,506.31/32,438.71 = 12,895.94/x
  3. Step 3: Cross multiply
    23,506.31x = 32,438.71 × 12,895.94
  4. Step 4: Simplify right side
    23,506.31x = 418,327,463.40
  5. Step 5: Solve for x
    x = 418,327,463.40/23,506.31
  6. Step 6: Final answer
    x = 17,796.39

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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.