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Finding the Fourth Proportional to 12,175.92, 16,802.73 and 6,586.92

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Solution

The fourth proportional to 12,175.92, 16,802.73 and 6,586.92 is: 9,089.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.92 : 16,802.73 = 6,586.92 : x
  2. Step 2: Convert to fraction form
    12,175.92/16,802.73 = 6,586.92/x
  3. Step 3: Cross multiply
    12,175.92x = 16,802.73 × 6,586.92
  4. Step 4: Simplify right side
    12,175.92x = 110,678,238.29
  5. Step 5: Solve for x
    x = 110,678,238.29/12,175.92
  6. Step 6: Final answer
    x = 9,089.93

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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.