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Finding the Fourth Proportional to 14,313.42, 21,469.02 and 7,289.01

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Solution

The fourth proportional to 14,313.42, 21,469.02 and 7,289.01 is: 10,932.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,313.42 : 21,469.02 = 7,289.01 : x
  2. Step 2: Convert to fraction form
    14,313.42/21,469.02 = 7,289.01/x
  3. Step 3: Cross multiply
    14,313.42x = 21,469.02 × 7,289.01
  4. Step 4: Simplify right side
    14,313.42x = 156,487,901.47
  5. Step 5: Solve for x
    x = 156,487,901.47/14,313.42
  6. Step 6: Final answer
    x = 10,932.95

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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.