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Finding the Fourth Proportional to 19,804.10, 27,329.70 and 10,851.42

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Solution

The fourth proportional to 19,804.10, 27,329.70 and 10,851.42 is: 14,974.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,804.10 : 27,329.70 = 10,851.42 : x
  2. Step 2: Convert to fraction form
    19,804.10/27,329.70 = 10,851.42/x
  3. Step 3: Cross multiply
    19,804.10x = 27,329.70 × 10,851.42
  4. Step 4: Simplify right side
    19,804.10x = 296,566,053.17
  5. Step 5: Solve for x
    x = 296,566,053.17/19,804.10
  6. Step 6: Final answer
    x = 14,974.98

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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.