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Finding the Fourth Proportional to 12,807.06, 17,675.04 and 7,142.73

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Solution

The fourth proportional to 12,807.06, 17,675.04 and 7,142.73 is: 9,857.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,807.06 : 17,675.04 = 7,142.73 : x
  2. Step 2: Convert to fraction form
    12,807.06/17,675.04 = 7,142.73/x
  3. Step 3: Cross multiply
    12,807.06x = 17,675.04 × 7,142.73
  4. Step 4: Simplify right side
    12,807.06x = 126,248,038.46
  5. Step 5: Solve for x
    x = 126,248,038.46/12,807.06
  6. Step 6: Final answer
    x = 9,857.69

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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.