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Finding the Fourth Proportional to 29,586.50, 40,829.69 and 16,158.15

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Solution

The fourth proportional to 29,586.50, 40,829.69 and 16,158.15 is: 22,298.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,586.50 : 40,829.69 = 16,158.15 : x
  2. Step 2: Convert to fraction form
    29,586.50/40,829.69 = 16,158.15/x
  3. Step 3: Cross multiply
    29,586.50x = 40,829.69 × 16,158.15
  4. Step 4: Simplify right side
    29,586.50x = 659,732,051.33
  5. Step 5: Solve for x
    x = 659,732,051.33/29,586.50
  6. Step 6: Final answer
    x = 22,298.42

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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.