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Finding the Fourth Proportional to 29,567.76, 40,803.54 and 16,138.80

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Solution

The fourth proportional to 29,567.76, 40,803.54 and 16,138.80 is: 22,271.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,567.76 : 40,803.54 = 16,138.80 : x
  2. Step 2: Convert to fraction form
    29,567.76/40,803.54 = 16,138.80/x
  3. Step 3: Cross multiply
    29,567.76x = 40,803.54 × 16,138.80
  4. Step 4: Simplify right side
    29,567.76x = 658,520,171.35
  5. Step 5: Solve for x
    x = 658,520,171.35/29,567.76
  6. Step 6: Final answer
    x = 22,271.56

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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.