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Finding the Fourth Proportional to 16,498.56, 22,763.04 and 9,785.28

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Solution

The fourth proportional to 16,498.56, 22,763.04 and 9,785.28 is: 13,500.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,498.56 : 22,763.04 = 9,785.28 : x
  2. Step 2: Convert to fraction form
    16,498.56/22,763.04 = 9,785.28/x
  3. Step 3: Cross multiply
    16,498.56x = 22,763.04 × 9,785.28
  4. Step 4: Simplify right side
    16,498.56x = 222,742,720.05
  5. Step 5: Solve for x
    x = 222,742,720.05/16,498.56
  6. Step 6: Final answer
    x = 13,500.74

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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.