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Finding the Fourth Proportional to 30,786.16, 42,484.91 and 16,639.01

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Solution

The fourth proportional to 30,786.16, 42,484.91 and 16,639.01 is: 22,961.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,786.16 : 42,484.91 = 16,639.01 : x
  2. Step 2: Convert to fraction form
    30,786.16/42,484.91 = 16,639.01/x
  3. Step 3: Cross multiply
    30,786.16x = 42,484.91 × 16,639.01
  4. Step 4: Simplify right side
    30,786.16x = 706,906,842.34
  5. Step 5: Solve for x
    x = 706,906,842.34/30,786.16
  6. Step 6: Final answer
    x = 22,961.84

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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.