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Finding the Fourth Proportional to 19,876.76, 27,429.82 and 10,802.04

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Solution

The fourth proportional to 19,876.76, 27,429.82 and 10,802.04 is: 14,906.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,876.76 : 27,429.82 = 10,802.04 : x
  2. Step 2: Convert to fraction form
    19,876.76/27,429.82 = 10,802.04/x
  3. Step 3: Cross multiply
    19,876.76x = 27,429.82 × 10,802.04
  4. Step 4: Simplify right side
    19,876.76x = 296,298,012.83
  5. Step 5: Solve for x
    x = 296,298,012.83/19,876.76
  6. Step 6: Final answer
    x = 14,906.76

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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.