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Finding the Fourth Proportional to 16,300.98, 22,438.26 and 14,201.46

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Solution

The fourth proportional to 16,300.98, 22,438.26 and 14,201.46 is: 19,548.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,300.98 : 22,438.26 = 14,201.46 : x
  2. Step 2: Convert to fraction form
    16,300.98/22,438.26 = 14,201.46/x
  3. Step 3: Cross multiply
    16,300.98x = 22,438.26 × 14,201.46
  4. Step 4: Simplify right side
    16,300.98x = 318,656,051.86
  5. Step 5: Solve for x
    x = 318,656,051.86/16,300.98
  6. Step 6: Final answer
    x = 19,548.28

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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.