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Finding the Fourth Proportional to 12,946.02, 17,871.39 and 8,470.02

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Solution

The fourth proportional to 12,946.02, 17,871.39 and 8,470.02 is: 11,692.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,946.02 : 17,871.39 = 8,470.02 : x
  2. Step 2: Convert to fraction form
    12,946.02/17,871.39 = 8,470.02/x
  3. Step 3: Cross multiply
    12,946.02x = 17,871.39 × 8,470.02
  4. Step 4: Simplify right side
    12,946.02x = 151,371,030.73
  5. Step 5: Solve for x
    x = 151,371,030.73/12,946.02
  6. Step 6: Final answer
    x = 11,692.48

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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.