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Finding the Fourth Proportional to 14,182.50, 21,273.84 and 4,948.50

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Solution

The fourth proportional to 14,182.50, 21,273.84 and 4,948.50 is: 7,422.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,182.50 : 21,273.84 = 4,948.50 : x
  2. Step 2: Convert to fraction form
    14,182.50/21,273.84 = 4,948.50/x
  3. Step 3: Cross multiply
    14,182.50x = 21,273.84 × 4,948.50
  4. Step 4: Simplify right side
    14,182.50x = 105,273,597.24
  5. Step 5: Solve for x
    x = 105,273,597.24/14,182.50
  6. Step 6: Final answer
    x = 7,422.78

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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.