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Finding the Fourth Proportional to 29,543.69, 40,770.78 and 16,114.94

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Solution

The fourth proportional to 29,543.69, 40,770.78 and 16,114.94 is: 22,238.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,543.69 : 40,770.78 = 16,114.94 : x
  2. Step 2: Convert to fraction form
    29,543.69/40,770.78 = 16,114.94/x
  3. Step 3: Cross multiply
    29,543.69x = 40,770.78 × 16,114.94
  4. Step 4: Simplify right side
    29,543.69x = 657,018,673.45
  5. Step 5: Solve for x
    x = 657,018,673.45/29,543.69
  6. Step 6: Final answer
    x = 22,238.88

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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.