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Finding the Fourth Proportional to 14,780.64, 20,395.44 and 9,116.64

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Solution

The fourth proportional to 14,780.64, 20,395.44 and 9,116.64 is: 12,579.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,780.64 : 20,395.44 = 9,116.64 : x
  2. Step 2: Convert to fraction form
    14,780.64/20,395.44 = 9,116.64/x
  3. Step 3: Cross multiply
    14,780.64x = 20,395.44 × 9,116.64
  4. Step 4: Simplify right side
    14,780.64x = 185,937,884.12
  5. Step 5: Solve for x
    x = 185,937,884.12/14,780.64
  6. Step 6: Final answer
    x = 12,579.83

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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.