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Finding the Fourth Proportional to 16,029.42, 24,043.23 and 4,341.78

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Solution

The fourth proportional to 16,029.42, 24,043.23 and 4,341.78 is: 6,512.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,029.42 : 24,043.23 = 4,341.78 : x
  2. Step 2: Convert to fraction form
    16,029.42/24,043.23 = 4,341.78/x
  3. Step 3: Cross multiply
    16,029.42x = 24,043.23 × 4,341.78
  4. Step 4: Simplify right side
    16,029.42x = 104,390,415.15
  5. Step 5: Solve for x
    x = 104,390,415.15/16,029.42
  6. Step 6: Final answer
    x = 6,512.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.