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Finding the Fourth Proportional to 14,274.96, 21,382.56 and 9,054.96

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Solution

The fourth proportional to 14,274.96, 21,382.56 and 9,054.96 is: 13,563.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,274.96 : 21,382.56 = 9,054.96 : x
  2. Step 2: Convert to fraction form
    14,274.96/21,382.56 = 9,054.96/x
  3. Step 3: Cross multiply
    14,274.96x = 21,382.56 × 9,054.96
  4. Step 4: Simplify right side
    14,274.96x = 193,618,225.50
  5. Step 5: Solve for x
    x = 193,618,225.50/14,274.96
  6. Step 6: Final answer
    x = 13,563.49

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Why These Related Problems?

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