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Finding the Fourth Proportional to 24,029.40, 36,011.70 and 16,109.40

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Solution

The fourth proportional to 24,029.40, 36,011.70 and 16,109.40 is: 24,142.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,029.40 : 36,011.70 = 16,109.40 : x
  2. Step 2: Convert to fraction form
    24,029.40/36,011.70 = 16,109.40/x
  3. Step 3: Cross multiply
    24,029.40x = 36,011.70 × 16,109.40
  4. Step 4: Simplify right side
    24,029.40x = 580,126,879.98
  5. Step 5: Solve for x
    x = 580,126,879.98/24,029.40
  6. Step 6: Final answer
    x = 24,142.38

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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.