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Finding the Fourth Proportional to 14,644.49, 20,214.33 and 8,901.93

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Solution

The fourth proportional to 14,644.49, 20,214.33 and 8,901.93 is: 12,287.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,644.49 : 20,214.33 = 8,901.93 : x
  2. Step 2: Convert to fraction form
    14,644.49/20,214.33 = 8,901.93/x
  3. Step 3: Cross multiply
    14,644.49x = 20,214.33 × 8,901.93
  4. Step 4: Simplify right side
    14,644.49x = 179,946,405.08
  5. Step 5: Solve for x
    x = 179,946,405.08/14,644.49
  6. Step 6: Final answer
    x = 12,287.65

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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.