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Finding the Fourth Proportional to 12,817.12, 17,688.24 and 7,228

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Solution

The fourth proportional to 12,817.12, 17,688.24 and 7,228 is: 9,974.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,817.12 : 17,688.24 = 7,228 : x
  2. Step 2: Convert to fraction form
    12,817.12/17,688.24 = 7,228/x
  3. Step 3: Cross multiply
    12,817.12x = 17,688.24 × 7,228
  4. Step 4: Simplify right side
    12,817.12x = 127,850,598.72
  5. Step 5: Solve for x
    x = 127,850,598.72/12,817.12
  6. Step 6: Final answer
    x = 9,974.99

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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.