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Finding the Fourth Proportional to 14,945.28, 22,425.48 and 6,186.48

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Solution

The fourth proportional to 14,945.28, 22,425.48 and 6,186.48 is: 9,282.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,945.28 : 22,425.48 = 6,186.48 : x
  2. Step 2: Convert to fraction form
    14,945.28/22,425.48 = 6,186.48/x
  3. Step 3: Cross multiply
    14,945.28x = 22,425.48 × 6,186.48
  4. Step 4: Simplify right side
    14,945.28x = 138,734,783.51
  5. Step 5: Solve for x
    x = 138,734,783.51/14,945.28
  6. Step 6: Final answer
    x = 9,282.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.