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Finding the Fourth Proportional to 29,602.28, 40,849.94 and 16,174

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Solution

The fourth proportional to 29,602.28, 40,849.94 and 16,174 is: 22,319.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,602.28 : 40,849.94 = 16,174 : x
  2. Step 2: Convert to fraction form
    29,602.28/40,849.94 = 16,174/x
  3. Step 3: Cross multiply
    29,602.28x = 40,849.94 × 16,174
  4. Step 4: Simplify right side
    29,602.28x = 660,706,929.56
  5. Step 5: Solve for x
    x = 660,706,929.56/29,602.28
  6. Step 6: Final answer
    x = 22,319.46

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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.