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Finding the Fourth Proportional to 22,038.54, 30,415.23 and 16,380.27

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Solution

The fourth proportional to 22,038.54, 30,415.23 and 16,380.27 is: 22,606.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,038.54 : 30,415.23 = 16,380.27 : x
  2. Step 2: Convert to fraction form
    22,038.54/30,415.23 = 16,380.27/x
  3. Step 3: Cross multiply
    22,038.54x = 30,415.23 × 16,380.27
  4. Step 4: Simplify right side
    22,038.54x = 498,209,679.51
  5. Step 5: Solve for x
    x = 498,209,679.51/22,038.54
  6. Step 6: Final answer
    x = 22,606.29

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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.