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Finding the Fourth Proportional to 14,456.28, 19,958.28 and 9,155.64

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Solution

The fourth proportional to 14,456.28, 19,958.28 and 9,155.64 is: 12,640.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,456.28 : 19,958.28 = 9,155.64 : x
  2. Step 2: Convert to fraction form
    14,456.28/19,958.28 = 9,155.64/x
  3. Step 3: Cross multiply
    14,456.28x = 19,958.28 × 9,155.64
  4. Step 4: Simplify right side
    14,456.28x = 182,730,826.70
  5. Step 5: Solve for x
    x = 182,730,826.70/14,456.28
  6. Step 6: Final answer
    x = 12,640.24

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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.