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Finding the Fourth Proportional to 21,774.14, 30,048.30 and 12,342.69

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Solution

The fourth proportional to 21,774.14, 30,048.30 and 12,342.69 is: 17,032.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,774.14 : 30,048.30 = 12,342.69 : x
  2. Step 2: Convert to fraction form
    21,774.14/30,048.30 = 12,342.69/x
  3. Step 3: Cross multiply
    21,774.14x = 30,048.30 × 12,342.69
  4. Step 4: Simplify right side
    21,774.14x = 370,876,851.93
  5. Step 5: Solve for x
    x = 370,876,851.93/21,774.14
  6. Step 6: Final answer
    x = 17,032.91

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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.