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Finding the Fourth Proportional to 19,802.10, 27,326.94 and 10,849.41

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Solution

The fourth proportional to 19,802.10, 27,326.94 and 10,849.41 is: 14,972.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,802.10 : 27,326.94 = 10,849.41 : x
  2. Step 2: Convert to fraction form
    19,802.10/27,326.94 = 10,849.41/x
  3. Step 3: Cross multiply
    19,802.10x = 27,326.94 × 10,849.41
  4. Step 4: Simplify right side
    19,802.10x = 296,481,176.11
  5. Step 5: Solve for x
    x = 296,481,176.11/19,802.10
  6. Step 6: Final answer
    x = 14,972.21

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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.