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Finding the Fourth Proportional to 21,774.84, 30,042.18 and 12,698.13

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Solution

The fourth proportional to 21,774.84, 30,042.18 and 12,698.13 is: 17,519.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,774.84 : 30,042.18 = 12,698.13 : x
  2. Step 2: Convert to fraction form
    21,774.84/30,042.18 = 12,698.13/x
  3. Step 3: Cross multiply
    21,774.84x = 30,042.18 × 12,698.13
  4. Step 4: Simplify right side
    21,774.84x = 381,479,507.12
  5. Step 5: Solve for x
    x = 381,479,507.12/21,774.84
  6. Step 6: Final answer
    x = 17,519.28

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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.