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Finding the Fourth Proportional to 14,821.44, 20,465.37 and 9,164.40

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Solution

The fourth proportional to 14,821.44, 20,465.37 and 9,164.40 is: 12,654.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,821.44 : 20,465.37 = 9,164.40 : x
  2. Step 2: Convert to fraction form
    14,821.44/20,465.37 = 9,164.40/x
  3. Step 3: Cross multiply
    14,821.44x = 20,465.37 × 9,164.40
  4. Step 4: Simplify right side
    14,821.44x = 187,552,836.83
  5. Step 5: Solve for x
    x = 187,552,836.83/14,821.44
  6. Step 6: Final answer
    x = 12,654.16

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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.