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Finding the Fourth Proportional to 12,288.04, 16,957.77 and 7,253.49

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Solution

The fourth proportional to 12,288.04, 16,957.77 and 7,253.49 is: 10,009.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,288.04 : 16,957.77 = 7,253.49 : x
  2. Step 2: Convert to fraction form
    12,288.04/16,957.77 = 7,253.49/x
  3. Step 3: Cross multiply
    12,288.04x = 16,957.77 × 7,253.49
  4. Step 4: Simplify right side
    12,288.04x = 123,003,015.12
  5. Step 5: Solve for x
    x = 123,003,015.12/12,288.04
  6. Step 6: Final answer
    x = 10,009.98

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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.