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Finding the Fourth Proportional to 12,816.52, 17,690.02 and 7,230.76

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Solution

The fourth proportional to 12,816.52, 17,690.02 and 7,230.76 is: 9,980.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816.52 : 17,690.02 = 7,230.76 : x
  2. Step 2: Convert to fraction form
    12,816.52/17,690.02 = 7,230.76/x
  3. Step 3: Cross multiply
    12,816.52x = 17,690.02 × 7,230.76
  4. Step 4: Simplify right side
    12,816.52x = 127,912,289.02
  5. Step 5: Solve for x
    x = 127,912,289.02/12,816.52
  6. Step 6: Final answer
    x = 9,980.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.