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Finding the Fourth Proportional to 12,296.04, 16,970.04 and 6,992.16

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Solution

The fourth proportional to 12,296.04, 16,970.04 and 6,992.16 is: 9,650.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.04 : 16,970.04 = 6,992.16 : x
  2. Step 2: Convert to fraction form
    12,296.04/16,970.04 = 6,992.16/x
  3. Step 3: Cross multiply
    12,296.04x = 16,970.04 × 6,992.16
  4. Step 4: Simplify right side
    12,296.04x = 118,657,234.89
  5. Step 5: Solve for x
    x = 118,657,234.89/12,296.04
  6. Step 6: Final answer
    x = 9,650.04

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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.