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Finding the Fourth Proportional to 29,437.14, 40,622.69 and 16,189.14

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Solution

The fourth proportional to 29,437.14, 40,622.69 and 16,189.14 is: 22,340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,437.14 : 40,622.69 = 16,189.14 : x
  2. Step 2: Convert to fraction form
    29,437.14/40,622.69 = 16,189.14/x
  3. Step 3: Cross multiply
    29,437.14x = 40,622.69 × 16,189.14
  4. Step 4: Simplify right side
    29,437.14x = 657,646,415.59
  5. Step 5: Solve for x
    x = 657,646,415.59/29,437.14
  6. Step 6: Final answer
    x = 22,340.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.