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Finding the Fourth Proportional to 30,782.69, 42,480.09 and 16,635.53

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Solution

The fourth proportional to 30,782.69, 42,480.09 and 16,635.53 is: 22,957.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,782.69 : 42,480.09 = 16,635.53 : x
  2. Step 2: Convert to fraction form
    30,782.69/42,480.09 = 16,635.53/x
  3. Step 3: Cross multiply
    30,782.69x = 42,480.09 × 16,635.53
  4. Step 4: Simplify right side
    30,782.69x = 706,678,599.20
  5. Step 5: Solve for x
    x = 706,678,599.20/30,782.69
  6. Step 6: Final answer
    x = 22,957.02

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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.