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Finding the Fourth Proportional to 29,543.64, 40,770.57 and 16,114.86

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Solution

The fourth proportional to 29,543.64, 40,770.57 and 16,114.86 is: 22,238.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,543.64 : 40,770.57 = 16,114.86 : x
  2. Step 2: Convert to fraction form
    29,543.64/40,770.57 = 16,114.86/x
  3. Step 3: Cross multiply
    29,543.64x = 40,770.57 × 16,114.86
  4. Step 4: Simplify right side
    29,543.64x = 657,012,027.67
  5. Step 5: Solve for x
    x = 657,012,027.67/29,543.64
  6. Step 6: Final answer
    x = 22,238.70

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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.