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Finding the Fourth Proportional to 13,964.31, 20,953.53 and 9,287.46

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Solution

The fourth proportional to 13,964.31, 20,953.53 and 9,287.46 is: 13,935.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,964.31 : 20,953.53 = 9,287.46 : x
  2. Step 2: Convert to fraction form
    13,964.31/20,953.53 = 9,287.46/x
  3. Step 3: Cross multiply
    13,964.31x = 20,953.53 × 9,287.46
  4. Step 4: Simplify right side
    13,964.31x = 194,605,071.73
  5. Step 5: Solve for x
    x = 194,605,071.73/13,964.31
  6. Step 6: Final answer
    x = 13,935.89

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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.