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Finding the Fourth Proportional to 21,774.40, 30,048.12 and 12,342.96

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Solution

The fourth proportional to 21,774.40, 30,048.12 and 12,342.96 is: 17,032.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,774.40 : 30,048.12 = 12,342.96 : x
  2. Step 2: Convert to fraction form
    21,774.40/30,048.12 = 12,342.96/x
  3. Step 3: Cross multiply
    21,774.40x = 30,048.12 × 12,342.96
  4. Step 4: Simplify right side
    21,774.40x = 370,882,743.24
  5. Step 5: Solve for x
    x = 370,882,743.24/21,774.40
  6. Step 6: Final answer
    x = 17,032.97

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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.