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Finding the Fourth Proportional to 14,642.50, 21,964.11 and 5,283.31

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Solution

The fourth proportional to 14,642.50, 21,964.11 and 5,283.31 is: 7,925.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,642.50 : 21,964.11 = 5,283.31 : x
  2. Step 2: Convert to fraction form
    14,642.50/21,964.11 = 5,283.31/x
  3. Step 3: Cross multiply
    14,642.50x = 21,964.11 × 5,283.31
  4. Step 4: Simplify right side
    14,642.50x = 116,043,202.00
  5. Step 5: Solve for x
    x = 116,043,202.00/14,642.50
  6. Step 6: Final answer
    x = 7,925.09

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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.