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Finding the Fourth Proportional to 12,290.32, 16,961.46 and 6,985.54

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Solution

The fourth proportional to 12,290.32, 16,961.46 and 6,985.54 is: 9,640.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,290.32 : 16,961.46 = 6,985.54 : x
  2. Step 2: Convert to fraction form
    12,290.32/16,961.46 = 6,985.54/x
  3. Step 3: Cross multiply
    12,290.32x = 16,961.46 × 6,985.54
  4. Step 4: Simplify right side
    12,290.32x = 118,484,957.29
  5. Step 5: Solve for x
    x = 118,484,957.29/12,290.32
  6. Step 6: Final answer
    x = 9,640.51

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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.