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Finding the Fourth Proportional to 21,975.14, 30,323.90 and 12,415.86

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Solution

The fourth proportional to 21,975.14, 30,323.90 and 12,415.86 is: 17,132.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,975.14 : 30,323.90 = 12,415.86 : x
  2. Step 2: Convert to fraction form
    21,975.14/30,323.90 = 12,415.86/x
  3. Step 3: Cross multiply
    21,975.14x = 30,323.90 × 12,415.86
  4. Step 4: Simplify right side
    21,975.14x = 376,497,408.51
  5. Step 5: Solve for x
    x = 376,497,408.51/21,975.14
  6. Step 6: Final answer
    x = 17,132.88

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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.