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Finding the Fourth Proportional to 12,312, 16,991.04 and 7,346.88

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Solution

The fourth proportional to 12,312, 16,991.04 and 7,346.88 is: 10,138.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,312 : 16,991.04 = 7,346.88 : x
  2. Step 2: Convert to fraction form
    12,312/16,991.04 = 7,346.88/x
  3. Step 3: Cross multiply
    12,312x = 16,991.04 × 7,346.88
  4. Step 4: Simplify right side
    12,312x = 124,831,131.96
  5. Step 5: Solve for x
    x = 124,831,131.96/12,312
  6. Step 6: Final answer
    x = 10,138.98

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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.