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Finding the Fourth Proportional to 12,509.91, 17,263.98 and 7,204.41

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Solution

The fourth proportional to 12,509.91, 17,263.98 and 7,204.41 is: 9,942.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.91 : 17,263.98 = 7,204.41 : x
  2. Step 2: Convert to fraction form
    12,509.91/17,263.98 = 7,204.41/x
  3. Step 3: Cross multiply
    12,509.91x = 17,263.98 × 7,204.41
  4. Step 4: Simplify right side
    12,509.91x = 124,376,790.15
  5. Step 5: Solve for x
    x = 124,376,790.15/12,509.91
  6. Step 6: Final answer
    x = 9,942.26

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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.