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Finding the Fourth Proportional to 14,567.50, 21,851.31 and 5,333.50

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Solution

The fourth proportional to 14,567.50, 21,851.31 and 5,333.50 is: 8,000.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,567.50 : 21,851.31 = 5,333.50 : x
  2. Step 2: Convert to fraction form
    14,567.50/21,851.31 = 5,333.50/x
  3. Step 3: Cross multiply
    14,567.50x = 21,851.31 × 5,333.50
  4. Step 4: Simplify right side
    14,567.50x = 116,543,961.89
  5. Step 5: Solve for x
    x = 116,543,961.89/14,567.50
  6. Step 6: Final answer
    x = 8,000.27

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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.