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Finding the Fourth Proportional to 19,802.16, 27,321.12 and 11,304

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Solution

The fourth proportional to 19,802.16, 27,321.12 and 11,304 is: 15,596.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,802.16 : 27,321.12 = 11,304 : x
  2. Step 2: Convert to fraction form
    19,802.16/27,321.12 = 11,304/x
  3. Step 3: Cross multiply
    19,802.16x = 27,321.12 × 11,304
  4. Step 4: Simplify right side
    19,802.16x = 308,837,940.48
  5. Step 5: Solve for x
    x = 308,837,940.48/19,802.16
  6. Step 6: Final answer
    x = 15,596.17

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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.