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Finding the Fourth Proportional to 14,601.63, 21,902.45 and 8,357.29

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Solution

The fourth proportional to 14,601.63, 21,902.45 and 8,357.29 is: 12,535.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,601.63 : 21,902.45 = 8,357.29 : x
  2. Step 2: Convert to fraction form
    14,601.63/21,902.45 = 8,357.29/x
  3. Step 3: Cross multiply
    14,601.63x = 21,902.45 × 8,357.29
  4. Step 4: Simplify right side
    14,601.63x = 183,045,200.03
  5. Step 5: Solve for x
    x = 183,045,200.03/14,601.63
  6. Step 6: Final answer
    x = 12,535.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.