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Finding the Fourth Proportional to 12,288.02, 16,957.50 and 8,042

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Solution

The fourth proportional to 12,288.02, 16,957.50 and 8,042 is: 11,097.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,288.02 : 16,957.50 = 8,042 : x
  2. Step 2: Convert to fraction form
    12,288.02/16,957.50 = 8,042/x
  3. Step 3: Cross multiply
    12,288.02x = 16,957.50 × 8,042
  4. Step 4: Simplify right side
    12,288.02x = 136,372,215
  5. Step 5: Solve for x
    x = 136,372,215/12,288.02
  6. Step 6: Final answer
    x = 11,097.98

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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.