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Finding the Fourth Proportional to 19,657.12, 29,485.60 and 16,187.04

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Solution

The fourth proportional to 19,657.12, 29,485.60 and 16,187.04 is: 24,280.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,657.12 : 29,485.60 = 16,187.04 : x
  2. Step 2: Convert to fraction form
    19,657.12/29,485.60 = 16,187.04/x
  3. Step 3: Cross multiply
    19,657.12x = 29,485.60 × 16,187.04
  4. Step 4: Simplify right side
    19,657.12x = 477,284,586.62
  5. Step 5: Solve for x
    x = 477,284,586.62/19,657.12
  6. Step 6: Final answer
    x = 24,280.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.