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Finding the Fourth Proportional to 30,785.51, 42,484.02 and 16,638.37

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Solution

The fourth proportional to 30,785.51, 42,484.02 and 16,638.37 is: 22,960.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,785.51 : 42,484.02 = 16,638.37 : x
  2. Step 2: Convert to fraction form
    30,785.51/42,484.02 = 16,638.37/x
  3. Step 3: Cross multiply
    30,785.51x = 42,484.02 × 16,638.37
  4. Step 4: Simplify right side
    30,785.51x = 706,864,843.85
  5. Step 5: Solve for x
    x = 706,864,843.85/30,785.51
  6. Step 6: Final answer
    x = 22,960.96

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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.