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Finding the Fourth Proportional to 14,152.50, 21,228.75 and 4,918.50

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Solution

The fourth proportional to 14,152.50, 21,228.75 and 4,918.50 is: 7,377.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,152.50 : 21,228.75 = 4,918.50 : x
  2. Step 2: Convert to fraction form
    14,152.50/21,228.75 = 4,918.50/x
  3. Step 3: Cross multiply
    14,152.50x = 21,228.75 × 4,918.50
  4. Step 4: Simplify right side
    14,152.50x = 104,413,606.88
  5. Step 5: Solve for x
    x = 104,413,606.88/14,152.50
  6. Step 6: Final answer
    x = 7,377.75

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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.