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Finding the Fourth Proportional to 22,050.84, 30,431.52 and 12,619.20

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Solution

The fourth proportional to 22,050.84, 30,431.52 and 12,619.20 is: 17,415.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,050.84 : 30,431.52 = 12,619.20 : x
  2. Step 2: Convert to fraction form
    22,050.84/30,431.52 = 12,619.20/x
  3. Step 3: Cross multiply
    22,050.84x = 30,431.52 × 12,619.20
  4. Step 4: Simplify right side
    22,050.84x = 384,021,437.18
  5. Step 5: Solve for x
    x = 384,021,437.18/22,050.84
  6. Step 6: Final answer
    x = 17,415.27

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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.