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Finding the Fourth Proportional to 14,543.28, 20,078.28 and 9,242.64

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Solution

The fourth proportional to 14,543.28, 20,078.28 and 9,242.64 is: 12,760.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,543.28 : 20,078.28 = 9,242.64 : x
  2. Step 2: Convert to fraction form
    14,543.28/20,078.28 = 9,242.64/x
  3. Step 3: Cross multiply
    14,543.28x = 20,078.28 × 9,242.64
  4. Step 4: Simplify right side
    14,543.28x = 185,576,313.86
  5. Step 5: Solve for x
    x = 185,576,313.86/14,543.28
  6. Step 6: Final answer
    x = 12,760.28

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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.