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Finding the Fourth Proportional to 14,612.50, 21,918.75 and 4,884.50

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Solution

The fourth proportional to 14,612.50, 21,918.75 and 4,884.50 is: 7,326.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,612.50 : 21,918.75 = 4,884.50 : x
  2. Step 2: Convert to fraction form
    14,612.50/21,918.75 = 4,884.50/x
  3. Step 3: Cross multiply
    14,612.50x = 21,918.75 × 4,884.50
  4. Step 4: Simplify right side
    14,612.50x = 107,062,134.38
  5. Step 5: Solve for x
    x = 107,062,134.38/14,612.50
  6. Step 6: Final answer
    x = 7,326.75

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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.