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Finding the Fourth Proportional to 12,277.30, 16,942.62 and 7,497.22

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Solution

The fourth proportional to 12,277.30, 16,942.62 and 7,497.22 is: 10,346.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,277.30 : 16,942.62 = 7,497.22 : x
  2. Step 2: Convert to fraction form
    12,277.30/16,942.62 = 7,497.22/x
  3. Step 3: Cross multiply
    12,277.30x = 16,942.62 × 7,497.22
  4. Step 4: Simplify right side
    12,277.30x = 127,022,549.52
  5. Step 5: Solve for x
    x = 127,022,549.52/12,277.30
  6. Step 6: Final answer
    x = 10,346.13

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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.