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Finding the Fourth Proportional to 19,802.29, 27,326.91 and 10,849.27

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Solution

The fourth proportional to 19,802.29, 27,326.91 and 10,849.27 is: 14,971.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,802.29 : 27,326.91 = 10,849.27 : x
  2. Step 2: Convert to fraction form
    19,802.29/27,326.91 = 10,849.27/x
  3. Step 3: Cross multiply
    19,802.29x = 27,326.91 × 10,849.27
  4. Step 4: Simplify right side
    19,802.29x = 296,477,024.86
  5. Step 5: Solve for x
    x = 296,477,024.86/19,802.29
  6. Step 6: Final answer
    x = 14,971.86

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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.