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Finding the Fourth Proportional to 12,179.79, 16,802.75 and 7,141.46

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Solution

The fourth proportional to 12,179.79, 16,802.75 and 7,141.46 is: 9,852.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,179.79 : 16,802.75 = 7,141.46 : x
  2. Step 2: Convert to fraction form
    12,179.79/16,802.75 = 7,141.46/x
  3. Step 3: Cross multiply
    12,179.79x = 16,802.75 × 7,141.46
  4. Step 4: Simplify right side
    12,179.79x = 119,996,100.85
  5. Step 5: Solve for x
    x = 119,996,100.85/12,179.79
  6. Step 6: Final answer
    x = 9,852.07

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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.