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Finding the Fourth Proportional to 22,300.47, 30,774.19 and 13,800.33

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Solution

The fourth proportional to 22,300.47, 30,774.19 and 13,800.33 is: 19,044.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,300.47 : 30,774.19 = 13,800.33 : x
  2. Step 2: Convert to fraction form
    22,300.47/30,774.19 = 13,800.33/x
  3. Step 3: Cross multiply
    22,300.47x = 30,774.19 × 13,800.33
  4. Step 4: Simplify right side
    22,300.47x = 424,693,942.98
  5. Step 5: Solve for x
    x = 424,693,942.98/22,300.47
  6. Step 6: Final answer
    x = 19,044.17

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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.