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Finding the Fourth Proportional to 14,555.92, 20,103.52 and 9,832

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Solution

The fourth proportional to 14,555.92, 20,103.52 and 9,832 is: 13,579.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,555.92 : 20,103.52 = 9,832 : x
  2. Step 2: Convert to fraction form
    14,555.92/20,103.52 = 9,832/x
  3. Step 3: Cross multiply
    14,555.92x = 20,103.52 × 9,832
  4. Step 4: Simplify right side
    14,555.92x = 197,657,808.64
  5. Step 5: Solve for x
    x = 197,657,808.64/14,555.92
  6. Step 6: Final answer
    x = 13,579.20

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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.