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Finding the Fourth Proportional to 12,271.50, 16,937.64 and 6,969.24

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Solution

The fourth proportional to 12,271.50, 16,937.64 and 6,969.24 is: 9,619.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,271.50 : 16,937.64 = 6,969.24 : x
  2. Step 2: Convert to fraction form
    12,271.50/16,937.64 = 6,969.24/x
  3. Step 3: Cross multiply
    12,271.50x = 16,937.64 × 6,969.24
  4. Step 4: Simplify right side
    12,271.50x = 118,042,478.19
  5. Step 5: Solve for x
    x = 118,042,478.19/12,271.50
  6. Step 6: Final answer
    x = 9,619.24

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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.